1022100113200 has 120 divisors (see below), whose sum is σ = 2585653146000. Its totient is φ = 387199918080.

The previous prime is 1022100113197. The next prime is 1022100113261. The reversal of 1022100113200 is 23110012201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26192904 + ... + 26231896.

It is an arithmetic number, because the mean of its divisors is an integer number (21547109550).

Almost surely, 2^{1022100113200} is an apocalyptic number.

1022100113200 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 1022100113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292826573000).

1022100113200 is an abundant number, since it is smaller than the sum of its proper divisors (1563553032800).

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

1022100113200 is a wasteful number, since it uses less digits than its factorization.

1022100113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42479 (or 42468 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1022100113200 its reverse (23110012201), we get a palindrome (1045210125401).

The spelling of 1022100113200 in words is "one trillion, twenty-two billion, one hundred million, one hundred thirteen thousand, two hundred".