102113022222120 has 256 divisors, whose sum is σ = 377129258311680. Its totient is φ = 21539207808000.

The previous prime is 102113022222091. The next prime is 102113022222131. The reversal of 102113022222120 is 21222220311201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41512645 + ... + 43903595.

It is an arithmetic number, because the mean of its divisors is an integer number (1473161165280).

Almost surely, 2^{102113022222120} is an apocalyptic number.

102113022222120 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 102113022222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188564629155840).

102113022222120 is an abundant number, since it is smaller than the sum of its proper divisors (275016236089560).

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

102113022222120 is a wasteful number, since it uses less digits than its factorization.

102113022222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394896 (or 2394892 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 102113022222120 its reverse (21222220311201), we get a palindrome (123335242533321).

The spelling of 102113022222120 in words is "one hundred two trillion, one hundred thirteen billion, twenty-two million, two hundred twenty-two thousand, one hundred twenty".