102121001000010 has 96 divisors (see below), whose sum is σ = 274210932483072. Its totient is φ = 26341177605120.

The previous prime is 102121001000003. The next prime is 102121001000027. The reversal of 102121001000010 is 10000100121201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102121000999956 and 102121001000001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2946439 + ... + 14591898.

It is an arithmetic number, because the mean of its divisors is an integer number (2856363880032).

Almost surely, 2^{102121001000010} is an apocalyptic number.

102121001000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102121001000010 is an abundant number, since it is smaller than the sum of its proper divisors (172089931483062).

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

102121001000010 is a wasteful number, since it uses less digits than its factorization.

102121001000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17540468 (or 17540465 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102121001000010 its reverse (10000100121201), we get a palindrome (112121101121211).

The spelling of 102121001000010 in words is "one hundred two trillion, one hundred twenty-one billion, one million, ten", and thus it is an aban number.