101012222100200 has 48 divisors (see below), whose sum is σ = 235444986886380. Its totient is φ = 40303113269760.

The previous prime is 101012222100143. The next prime is 101012222100221. The reversal of 101012222100200 is 2001222210101.

It can be written as a sum of positive squares in 6 ways, for example, as 26413658494084 + 74598563606116 = 5139422^2 + 8637046^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 636017717 + ... + 636176516.

Almost surely, 2^{101012222100200} is an apocalyptic number.

101012222100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012222100200 is an abundant number, since it is smaller than the sum of its proper divisors (134432764786180).

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

101012222100200 is a wasteful number, since it uses less digits than its factorization.

101012222100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272194646 (or 1272194637 counting only the distinct ones).

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

Adding to 101012222100200 its reverse (2001222210101), we get a palindrome (103013444310301).

The spelling of 101012222100200 in words is "one hundred one trillion, twelve billion, two hundred twenty-two million, one hundred thousand, two hundred".