201102212200100 has 144 divisors (see below), whose sum is σ = 460306853059200. Its totient is φ = 76050119808000.

The previous prime is 201102212200067. The next prime is 201102212200133. The reversal of 201102212200100 is 1002212201102.

It is an interprime number because it is at equal distance from previous prime (201102212200067) and next prime (201102212200133).

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, 3795715610 + ... + 3795768590.

Almost surely, 2^{201102212200100} is an apocalyptic number.

201102212200100 is a gapful number since it is divisible by the number (20) 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 201102212200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230153426529600).

201102212200100 is an abundant number, since it is smaller than the sum of its proper divisors (259204640859100).

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

201102212200100 is a wasteful number, since it uses less digits than its factorization.

201102212200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57094 (or 57087 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201102212200100 its reverse (1002212201102), we get a palindrome (202104424401202).

The spelling of 201102212200100 in words is "two hundred one trillion, one hundred two billion, two hundred twelve million, two hundred thousand, one hundred".