101112220100 has 36 divisors (see below), whose sum is σ = 220681841604. Its totient is φ = 40211095680.

The previous prime is 101112220087. The next prime is 101112220141. The reversal of 101112220100 is 1022211101.

It can be written as a sum of positive squares in 6 ways, for example, as 606735424 + 100505484676 = 24632^2 + 317026^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2905019 + ... + 2939618.

Almost surely, 2^101112220100 is an apocalyptic number.

101112220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112220100 is an abundant number, since it is smaller than the sum of its proper divisors (119569621504).

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

101112220100 is a wasteful number, since it uses less digits than its factorization.

101112220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5844824 (or 5844817 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101112220100 its reverse (1022211101), we get a palindrome (102134431201).

The spelling of 101112220100 in words is "one hundred one billion, one hundred twelve million, two hundred twenty thousand, one hundred".