102121102022000 has 160 divisors (see below), whose sum is σ = 258344759162880. Its totient is φ = 38969321529600.

The previous prime is 102121102021979. The next prime is 102121102022033. The reversal of 102121102022000 is 220201121201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14505209 + ... + 20362791.

It is an arithmetic number, because the mean of its divisors is an integer number (1614654744768).

Almost surely, 2^{102121102022000} is an apocalyptic number.

102121102022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102121102022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129172379581440).

102121102022000 is an abundant number, since it is smaller than the sum of its proper divisors (156223657140880).

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

102121102022000 is a wasteful number, since it uses less digits than its factorization.

102121102022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5858008 (or 5857992 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102121102022000 its reverse (220201121201), we get a palindrome (102341303143201).

The spelling of 102121102022000 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred two million, twenty-two thousand".