102221120112100 has 144 divisors (see below), whose sum is σ = 243790663648896. Its totient is φ = 36894997120000.

The previous prime is 102221120112061. The next prime is 102221120112229. The reversal of 102221120112100 is 1211021122201.

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, 80618025 + ... + 81876175.

It is an arithmetic number, because the mean of its divisors is an integer number (1692990719784).

Almost surely, 2^{102221120112100} is an apocalyptic number.

102221120112100 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 102221120112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121895331824448).

102221120112100 is an abundant number, since it is smaller than the sum of its proper divisors (141569543536796).

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

102221120112100 is a wasteful number, since it uses less digits than its factorization.

102221120112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258726 (or 1258719 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102221120112100 its reverse (1211021122201), we get a palindrome (103432141234301).

The spelling of 102221120112100 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred twenty million, one hundred twelve thousand, one hundred".