201122101012100 has 72 divisors (see below), whose sum is σ = 442648947820800. Its totient is φ = 79306582118400.

The previous prime is 201122101012081. The next prime is 201122101012103. The reversal of 201122101012100 is 1210101221102.

201122101012100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (201122101012103) 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, 14794520 + ... + 24922319.

Almost surely, 2^{201122101012100} is an apocalyptic number.

201122101012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122101012100 is an abundant number, since it is smaller than the sum of its proper divisors (241526846808700).

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

201122101012100 is a wasteful number, since it uses less digits than its factorization.

201122101012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39717573 (or 39717566 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201122101012100 its reverse (1210101221102), we get a palindrome (202332202233202).

The spelling of 201122101012100 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred one million, twelve thousand, one hundred".