100112010012020 has 48 divisors (see below), whose sum is σ = 210621517338960. Its totient is φ = 39971235001344.

The previous prime is 100112010011957. The next prime is 100112010012083. The reversal of 100112010012020 is 20210010211001.

It is an interprime number because it is at equal distance from previous prime (100112010011957) and next prime (100112010012083).

It can be written as a sum of positive squares in 8 ways, for example, as 9676056324496 + 90435953687524 = 3110636^2 + 9509782^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100112010011992 and 100112010012010.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 144829862 + ... + 145519458.

It is an arithmetic number, because the mean of its divisors is an integer number (4387948277895).

Almost surely, 2^{100112010012020} is an apocalyptic number.

100112010012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112010012020 is an abundant number, since it is smaller than the sum of its proper divisors (110509507326940).

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

100112010012020 is a wasteful number, since it uses less digits than its factorization.

100112010012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702932 (or 702930 counting only the distinct ones).

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

Adding to 100112010012020 its reverse (20210010211001), we get a palindrome (120322020223021).

The spelling of 100112010012020 in words is "one hundred trillion, one hundred twelve billion, ten million, twelve thousand, twenty".