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102021022110012 = 22342649199342349
BaseRepresentation
bin10111001100100110011110…
…110010000101000100111100
3111101020010002102222012211220
4113030212132302011010330
5101333003023130010022
61000551451024313340
730326530014502635
oct2714463662050474
9441203072865756
10102021022110012
112a5639663313a5
12b538435a72850
1344c0705a63a65
141b29bb560c88c
15bbdc0311585c
hex5cc99ec8513c

102021022110012 has 24 divisors (see below), whose sum is σ = 238054634370000. Its totient is φ = 34006209830016.

The previous prime is 102021022109953. The next prime is 102021022110023. The reversal of 102021022110012 is 210011220120201.

102021022110012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102021022109973 and 102021022110000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99159387 + ... + 100182962.

It is an arithmetic number, because the mean of its divisors is an integer number (9918943098750).

Almost surely, 2102021022110012 is an apocalyptic number.

102021022110012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102021022110012 is an abundant number, since it is smaller than the sum of its proper divisors (136033612259988).

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

102021022110012 is a wasteful number, since it uses less digits than its factorization.

102021022110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199385005 (or 199385003 counting only the distinct ones).

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

Adding to 102021022110012 its reverse (210011220120201), we get a palindrome (312032242230213).

The spelling of 102021022110012 in words is "one hundred two trillion, twenty-one billion, twenty-two million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 12 42649 85298 127947 170596 255894 511788 199342349 398684698 598027047 797369396 1196054094 2392108188 8501751842501 17003503685002 25505255527503 34007007370004 51010511055006 102021022110012