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102120001101220 = 225431273592604439
BaseRepresentation
bin10111001110000010101010…
…011000111101110110100100
3111101120120120110101221100011
4113032002222120331312210
5101341113230240214340
61001105140355500004
730336632553160264
oct2716025230756644
9441516513357304
10102120001101220
112a5a19383a4483
12b5536598b7604
1344c9b4ab8b98b
141b308c4c137a4
15bc15978be0ea
hex5ce0aa63dda4

102120001101220 has 96 divisors (see below), whose sum is σ = 221783275929600. Its totient is φ = 39473612406144.

The previous prime is 102120001101103. The next prime is 102120001101317. The reversal of 102120001101220 is 22101100021201.

It is a self number, because there is not a number n which added to its sum of digits gives 102120001101220.

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, 37907761 + ... + 40512199.

It is an arithmetic number, because the mean of its divisors is an integer number (2310242457600).

Almost surely, 2102120001101220 is an apocalyptic number.

102120001101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102120001101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110891637964800).

102120001101220 is an abundant number, since it is smaller than the sum of its proper divisors (119663274828380).

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

102120001101220 is a wasteful number, since it uses less digits than its factorization.

102120001101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604977 (or 2604975 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102120001101220 its reverse (22101100021201), we get a palindrome (124221101122421).

The spelling of 102120001101220 in words is "one hundred two trillion, one hundred twenty billion, one million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 127 172 215 254 359 430 508 635 718 860 1270 1436 1795 2540 3590 5461 7180 10922 15437 21844 27305 30874 45593 54610 61748 77185 91186 109220 154370 182372 227965 308740 455930 911860 1960499 2604439 3920998 5208878 7841996 9802495 10417756 13022195 19604990 26044390 39209980 52088780 111990877 223981754 330763753 447963508 559954385 661527506 934993601 1119908770 1323055012 1653818765 1869987202 2239817540 3307637530 3739974404 4674968005 6615275060 9349936010 14222841379 18699872020 28445682758 40204724843 56891365516 71114206895 80409449686 118744187327 142228413790 160818899372 201023624215 237488374654 284456827580 402047248430 474976749308 593720936635 804094496860 1187441873270 2374883746540 5106000055061 10212000110122 20424000220244 25530000275305 51060000550610 102120001101220