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102021102000012 = 223135887371110821
BaseRepresentation
bin10111001100100110100011…
…100010110101011110001100
3111101020010022000022001022210
4113030212203202311132030
5101333003204103000022
61000551503000510420
730326532004530246
oct2714464342653614
9441203260261283
10102021102000012
112a5639a7437998
12b53845877b410
1344c0719486050
141b29bc2087096
15bbdc0a146a0c
hex5cc9a38b578c

102021102000012 has 48 divisors (see below), whose sum is σ = 256361384073312. Its totient is φ = 31391026728960.

The previous prime is 102021101999953. The next prime is 102021102000053. The reversal of 102021102000012 is 210000201120201.

102021102000012 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 91287562 + ... + 92398382.

It is an arithmetic number, because the mean of its divisors is an integer number (5340862168194).

Almost surely, 2102021102000012 is an apocalyptic number.

102021102000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102021102000012 is an abundant number, since it is smaller than the sum of its proper divisors (154340282073300).

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

102021102000012 is a wasteful number, since it uses less digits than its factorization.

102021102000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699578 (or 1699576 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102021102000012 its reverse (210000201120201), we get a palindrome (312021303120213).

The spelling of 102021102000012 in words is "one hundred two trillion, twenty-one billion, one hundred two million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 588737 1110821 1177474 1766211 2221642 2354948 3332463 3532422 4443284 6664926 7064844 7653581 13329852 14440673 15307162 22960743 28881346 30614324 43322019 45921486 57762692 86644038 91842972 173288076 653981423077 1307962846154 1961944269231 2615925692308 3923888538462 7847777076924 8501758500001 17003517000002 25505275500003 34007034000004 51010551000006 102021102000012