101012222202100 has 144 divisors (see below), whose sum is σ = 239294641412736. Its totient is φ = 36705436672000.

The previous prime is 101012222202097. The next prime is 101012222202161. The reversal of 101012222202100 is 1202222210101.

It is a happy number.

It is a congruent number.

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, 12922117392 + ... + 12922125208.

It is an arithmetic number, because the mean of its divisors is an integer number (1661768343144).

Almost surely, 2^{101012222202100} is an apocalyptic number.

101012222202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012222202100 is an abundant number, since it is smaller than the sum of its proper divisors (138282419210636).

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

101012222202100 is a wasteful number, since it uses less digits than its factorization.

101012222202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14746 (or 14739 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101012222202100 its reverse (1202222210101), we get a palindrome (102214444412201).

The spelling of 101012222202100 in words is "one hundred one trillion, twelve billion, two hundred twenty-two million, two hundred two thousand, one hundred".