2122210101100 has 72 divisors (see below), whose sum is σ = 4887673606368. Its totient is φ = 797051673600.

The previous prime is 2122210101061. The next prime is 2122210101133. The reversal of 2122210101100 is 11010122212.

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, 766912 + ... + 2198311.

It is an arithmetic number, because the mean of its divisors is an integer number (67884355644).

Almost surely, 2^{2122210101100} is an apocalyptic number.

2122210101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122210101100 is an abundant number, since it is smaller than the sum of its proper divisors (2765463505268).

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

2122210101100 is a wasteful number, since it uses less digits than its factorization.

2122210101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2965675 (or 2965668 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2122210101100 its reverse (11010122212), we get a palindrome (2133220223312).

The spelling of 2122210101100 in words is "two trillion, one hundred twenty-two billion, two hundred ten million, one hundred one thousand, one hundred".