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102121021020120 = 23353171386646301
BaseRepresentation
bin10111001110000011100111…
…001011101001011111011000
3111101120200012112120012001020
4113032003213023221133120
5101341122322340120440
61001105425512122440
730340000046301624
oct2716034713513730
9441520175505036
10102121021020120
112a5a2311092663
12b5538a3396420
1344c9c8128139b
141b30980468184
15bc16071d73d0
hex5ce0e72e97d8

102121021020120 has 128 divisors (see below), whose sum is σ = 320699908730880. Its totient is φ = 25982631360000.

The previous prime is 102121021020103. The next prime is 102121021020169. The reversal of 102121021020120 is 21020120121201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102121021020120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193059031 + ... + 193587270.

It is an arithmetic number, because the mean of its divisors is an integer number (2505468036960).

Almost surely, 2102121021020120 is an apocalyptic number.

102121021020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121021020120 is an abundant number, since it is smaller than the sum of its proper divisors (218578887710760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102121021020120 is a wasteful number, since it uses less digits than its factorization.

102121021020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386646417 (or 386646413 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102121021020120 its reverse (21020120121201), we get a palindrome (123141141141321).

The spelling of 102121021020120 in words is "one hundred two trillion, one hundred twenty-one billion, twenty-one million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 71 93 120 124 142 155 186 213 248 284 310 355 372 426 465 568 620 710 744 852 930 1065 1240 1420 1704 1860 2130 2201 2840 3720 4260 4402 6603 8520 8804 11005 13206 17608 22010 26412 33015 44020 52824 66030 88040 132060 264120 386646301 773292602 1159938903 1546585204 1933231505 2319877806 3093170408 3866463010 4639755612 5799694515 7732926020 9279511224 11599389030 11986035331 15465852040 23198778060 23972070662 27451887371 35958105993 46397556120 47944141324 54903774742 59930176655 71916211986 82355662113 95888282648 109807549484 119860353310 137259436855 143832423972 164711324226 179790529965 219615098968 239720706620 274518873710 287664847944 329422648452 359581059930 411778310565 479441413240 549037747420 658845296904 719162119860 823556621130 851008508501 1098075494840 1438324239720 1647113242260 1702017017002 2553025525503 3294226484520 3404034034004 4255042542505 5106051051006 6808068068008 8510085085010 10212102102012 12765127627515 17020170170020 20424204204024 25530255255030 34040340340040 51060510510060 102121021020120