201102211212100 has 144 divisors (see below), whose sum is σ = 506081355595200. Its totient is φ = 68593296960000.

The previous prime is 201102211212047. The next prime is 201102211212107. The reversal of 201102211212100 is 1212112201102.

It is not an unprimeable number, because it can be changed into a prime (201102211212107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45523335 + ... + 49745134.

It is an arithmetic number, because the mean of its divisors is an integer number (3514453858300).

Almost surely, 2^{201102211212100} is an apocalyptic number.

201102211212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201102211212100 is an abundant number, since it is smaller than the sum of its proper divisors (304979144383100).

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

201102211212100 is a wasteful number, since it uses less digits than its factorization.

201102211212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95268614 (or 95268607 counting only the distinct ones).

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

Adding to 201102211212100 its reverse (1212112201102), we get a palindrome (202314323413202).

The spelling of 201102211212100 in words is "two hundred one trillion, one hundred two billion, two hundred eleven million, two hundred twelve thousand, one hundred".