2211132210100 has 72 divisors (see below), whose sum is σ = 5235114931200. Its totient is φ = 803931033600.

The previous prime is 2211132210073. The next prime is 2211132210103. The reversal of 2211132210100 is 10122311122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211132210103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7600116 + ... + 7885684.

It is an arithmetic number, because the mean of its divisors is an integer number (72709929600).

Almost surely, 2^{2211132210100} is an apocalyptic number.

2211132210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211132210100 is an abundant number, since it is smaller than the sum of its proper divisors (3023982721100).

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

2211132210100 is a wasteful number, since it uses less digits than its factorization.

2211132210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292633 (or 292626 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 2211132210100 its reverse (10122311122), we get a palindrome (2221254521222).

The spelling of 2211132210100 in words is "two trillion, two hundred eleven billion, one hundred thirty-two million, two hundred ten thousand, one hundred".