102121101022122 has 192 divisors, whose sum is σ = 287560026673920. Its totient is φ = 25435016312832.

The previous prime is 102121101022097. The next prime is 102121101022147. The reversal of 102121101022122 is 221220101121201.

It is an interprime number because it is at equal distance from previous prime (102121101022097) and next prime (102121101022147).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102121101022095 and 102121101022104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4690098 + ... + 15041250.

It is an arithmetic number, because the mean of its divisors is an integer number (1497708472260).

Almost surely, 2^{102121101022122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102121101022122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143780013336960).

102121101022122 is an abundant number, since it is smaller than the sum of its proper divisors (185438925651798).

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

102121101022122 is a wasteful number, since it uses less digits than its factorization.

102121101022122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10351517 (or 10351514 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102121101022122 its reverse (221220101121201), we get a palindrome (323341202143323).

The spelling of 102121101022122 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred one million, twenty-two thousand, one hundred twenty-two".