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102011200021212 = 223312142971279643
BaseRepresentation
bin10111001100011101010101…
…010101110010001011011100
3111101012011201220222102000020
4113030131111111302023130
5101332322414201134322
61000543144235032140
730326031430226346
oct2714352525621334
9441164656872006
10102011200021212
112a55a785a92739
12b53655459b650
1344bc7cbb987b1
141b29522d5c296
15bbd82ab9c05c
hex5cc7555722dc

102011200021212 has 48 divisors (see below), whose sum is σ = 245705734321152. Its totient is φ = 32906659443840.

The previous prime is 102011200021201. The next prime is 102011200021229. The reversal of 102011200021212 is 212120002110201.

It is a junction number, because it is equal to n+sod(n) for n = 102011200021191 and 102011200021200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79078663 + ... + 80358305.

It is an arithmetic number, because the mean of its divisors is an integer number (5118869465024).

Almost surely, 2102011200021212 is an apocalyptic number.

102011200021212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102011200021212 is an abundant number, since it is smaller than the sum of its proper divisors (143694534299940).

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

102011200021212 is a wasteful number, since it uses less digits than its factorization.

102011200021212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493978 (or 1493976 counting only the distinct ones).

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

Adding to 102011200021212 its reverse (212120002110201), we get a palindrome (314131202131413).

The spelling of 102011200021212 in words is "one hundred two trillion, eleven billion, two hundred million, twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 214297 428594 642891 857188 1279643 1285782 2559286 2571564 3838929 5118572 6643207 7677858 13286414 15355716 19929621 26572828 39668933 39859242 79337866 79718484 119006799 158675732 238013598 476027196 274223655971 548447311942 822670967913 1096894623884 1645341935826 3290683871652 8500933335101 17001866670202 25502800005303 34003733340404 51005600010606 102011200021212