102121010100010 has 64 divisors (see below), whose sum is σ = 200639867871744. Its totient is φ = 37114298280000.

The previous prime is 102121010099987. The next prime is 102121010100019. The reversal of 102121010100010 is 10001010121201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 102121010100010.

It is not an unprimeable number, because it can be changed into a prime (102121010100019) 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, 3057223969 + ... + 3057257371.

It is an arithmetic number, because the mean of its divisors is an integer number (3134997935496).

Almost surely, 2^{102121010100010} is an apocalyptic number.

102121010100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102121010100010 is a deficient number, since it is larger than the sum of its proper divisors (98518857771734).

102121010100010 is a wasteful number, since it uses less digits than its factorization.

102121010100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48019.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102121010100010 its reverse (10001010121201), we get a palindrome (112122020221211).

The spelling of 102121010100010 in words is "one hundred two trillion, one hundred twenty-one billion, ten million, one hundred thousand, ten".