102100112002220 has 144 divisors (see below), whose sum is σ = 227190888239616. Its totient is φ = 38536436880000.

The previous prime is 102100112002183. The next prime is 102100112002249. The reversal of 102100112002220 is 22200211001201.

It is a junction number, because it is equal to n+sod(n) for n = 102100112002195 and 102100112002204.

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, 9882882455 + ... + 9882892785.

It is an arithmetic number, because the mean of its divisors is an integer number (1577714501664).

Almost surely, 2^{102100112002220} is an apocalyptic number.

102100112002220 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 102100112002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113595444119808).

102100112002220 is an abundant number, since it is smaller than the sum of its proper divisors (125090776237396).

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

102100112002220 is a wasteful number, since it uses less digits than its factorization.

102100112002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15700 (or 15679 counting only the distinct ones).

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

Adding to 102100112002220 its reverse (22200211001201), we get a palindrome (124300323003421).

The spelling of 102100112002220 in words is "one hundred two trillion, one hundred billion, one hundred twelve million, two thousand, two hundred twenty".