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102121110012020 = 225111697312187643
BaseRepresentation
bin10111001110000011101100…
…011111001000000001110100
3111101120200102202000102222112
4113032003230133020001310
5101341123013130341040
61001105442411350152
730340002206565341
oct2716035437100164
9441520382012875
10102121110012020
112a5a2357345590
12b553909152358
1344c9c9683c508
141b3098c1d17c8
15bc160ee15365
hex5ce0ec7c8074

102121110012020 has 96 divisors (see below), whose sum is σ = 234165716297856. Its totient is φ = 37100751667200.

The previous prime is 102121110011989. The next prime is 102121110012121. The reversal of 102121110012020 is 20210011121201.

102121110012020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1021211100120202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102121110011986 and 102121110012004.

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, 1165150319 + ... + 1165237961.

It is an arithmetic number, because the mean of its divisors is an integer number (2439226211436).

Almost surely, 2102121110012020 is an apocalyptic number.

102121110012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121110012020 is an abundant number, since it is smaller than the sum of its proper divisors (132044606285836).

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

102121110012020 is a wasteful number, since it uses less digits than its factorization.

102121110012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92481 (or 92479 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102121110012020 its reverse (20210011121201), we get a palindrome (122331121133221).

The spelling of 102121110012020 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred ten million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1697 3121 3394 6242 6788 8485 12484 15605 16970 18667 31210 33940 34331 37334 62420 68662 74668 87643 93335 137324 171655 175286 186670 343310 350572 373340 438215 686620 876430 964073 1752860 1928146 3856292 4820365 5296337 9640730 10592674 19281460 21185348 26481685 52963370 58259707 105926740 116519414 148730171 233038828 273533803 291298535 297460342 547067606 582597070 594920684 743650855 1094135212 1165194140 1367669015 1487301710 1636031881 2735338030 2974603420 3008871833 3272063762 5470676060 6017743666 6544127524 8180159405 12035487332 15044359165 16360318810 30088718330 32720637620 60177436660 464186863691 928373727382 1856747454764 2320934318455 4641868636910 5106055500601 9283737273820 10212111001202 20424222002404 25530277503005 51060555006010 102121110012020