101122200100 has 18 divisors (see below), whose sum is σ = 219435174434. Its totient is φ = 40448880000.

The previous prime is 101122200077. The next prime is 101122200107. The reversal of 101122200100 is 1002221101.

It can be written as a sum of positive squares in 3 ways, for example, as 27754893604 + 73367306496 = 166598^2 + 270864^2 .

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

It is not an unprimeable number, because it can be changed into a prime (101122200107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505610901 + ... + 505611100.

Almost surely, 2^101122200100 is an apocalyptic number.

101122200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122200100 is an abundant number, since it is smaller than the sum of its proper divisors (118312974334).

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

101122200100 is a wasteful number, since it uses less digits than its factorization.

101122200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011222015 (or 1011222008 counting only the distinct ones).

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

Adding to 101122200100 its reverse (1002221101), we get a palindrome (102124421201).

The spelling of 101122200100 in words is "one hundred one billion, one hundred twenty-two million, two hundred thousand, one hundred".