100112220120100 has 36 divisors (see below), whose sum is σ = 218192179359700. Its totient is φ = 39870019532160.

The previous prime is 100112220120037. The next prime is 100112220120119. The reversal of 100112220120100 is 1021022211001.

It can be written as a sum of positive squares in 6 ways, for example, as 15991809048576 + 84120411071524 = 3998976^2 + 9171718^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2185833435 + ... + 2185879234.

Almost surely, 2^{100112220120100} is an apocalyptic number.

100112220120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112220120100 is an abundant number, since it is smaller than the sum of its proper divisors (118079959239600).

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

100112220120100 is a wasteful number, since it uses less digits than its factorization.

100112220120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4371712912 (or 4371712905 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100112220120100 its reverse (1021022211001), we get a palindrome (101133242331101).

The spelling of 100112220120100 in words is "one hundred trillion, one hundred twelve billion, two hundred twenty million, one hundred twenty thousand, one hundred".