201100122100 has 36 divisors (see below), whose sum is σ = 436502242624. Its totient is φ = 80418854880.

The previous prime is 201100122001. The next prime is 201100122121. The reversal of 201100122100 is 1221001102.

201100122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119287 + ... + 645313.

Almost surely, 2^201100122100 is an apocalyptic number.

201100122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201100122100 is an abundant number, since it is smaller than the sum of its proper divisors (235402120524).

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

201100122100 is a wasteful number, since it uses less digits than its factorization.

201100122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529864 (or 529857 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201100122100 its reverse (1221001102), we get a palindrome (202321123202).

The spelling of 201100122100 in words is "two hundred one billion, one hundred million, one hundred twenty-two thousand, one hundred".