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102121110212020 = 22559349911272201
BaseRepresentation
bin10111001110000011101100…
…011111111000110110110100
3111101120200102202101121022221
4113032003230133320312310
5101341123013203241040
61001105442415532124
730340002211360414
oct2716035437706664
9441520382347287
10102121110212020
112a5a2357471879
12b55390922a044
1344c9c968ac563
141b3098c244644
15bc160ee5474a
hex5ce0ec7f8db4

102121110212020 has 96 divisors (see below), whose sum is σ = 218954933568000. Its totient is φ = 39996937344000.

The previous prime is 102121110211957. The next prime is 102121110212027. The reversal of 102121110212020 is 20212011121201.

It is a junction number, because it is equal to n+sod(n) for n = 102121110211985 and 102121110212003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121110212027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375031920 + ... + 375304120.

It is an arithmetic number, because the mean of its divisors is an integer number (2280780558000).

Almost surely, 2102121110212020 is an apocalyptic number.

102121110212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121110212020 is an abundant number, since it is smaller than the sum of its proper divisors (116833823355980).

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

102121110212020 is a wasteful number, since it uses less digits than its factorization.

102121110212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273529 (or 273527 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102121110212020 its reverse (20212011121201), we get a palindrome (122333121333221).

The spelling of 102121110212020 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred ten million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 59 118 236 295 349 590 698 911 1180 1396 1745 1822 3490 3644 4555 6980 9110 18220 20591 41182 53749 82364 102955 107498 205910 214996 268745 272201 317939 411820 537490 544402 635878 1074980 1088804 1271756 1361005 1589695 2722010 3179390 5444020 6358780 16059859 18758401 32119718 37516802 64239436 75033604 80299295 93792005 94998149 160598590 187584010 189996298 247975111 321197180 375168020 379992596 474990745 495950222 949981490 991900444 1239875555 1899962980 2479751110 4959502220 5604890791 11209781582 14630531549 22419563164 28024453955 29261063098 56048907910 58522126196 73152657745 86543313739 112097815820 146305315490 173086627478 292610630980 346173254956 432716568695 865433137390 1730866274780 5106055510601 10212111021202 20424222042404 25530277553005 51060555106010 102121110212020