101022122012200 has 24 divisors (see below), whose sum is σ = 234876433678830. Its totient is φ = 40408848804800.

The previous prime is 101022122012173. The next prime is 101022122012209. The reversal of 101022122012200 is 2210221220101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 87195965542884 + 13826156469316 = 9337878^2 + 3718354^2 .

It is not an unprimeable number, because it can be changed into a prime (101022122012209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 252555304831 + ... + 252555305230.

Almost surely, 2^{101022122012200} is an apocalyptic number.

101022122012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022122012200 is an abundant number, since it is smaller than the sum of its proper divisors (133854311666630).

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

101022122012200 is a wasteful number, since it uses less digits than its factorization.

101022122012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505110610077 (or 505110610068 counting only the distinct ones).

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

Adding to 101022122012200 its reverse (2210221220101), we get a palindrome (103232343232301).

The spelling of 101022122012200 in words is "one hundred one trillion, twenty-two billion, one hundred twenty-two million, twelve thousand, two hundred".