100122020020020 has 48 divisors (see below), whose sum is σ = 280353914201088. Its totient is φ = 26698037896320.

The previous prime is 100122020019947. The next prime is 100122020020049. The reversal of 100122020020020 is 20020020221001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100122020019978 and 100122020020005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35098516 + ... + 37843755.

It is an arithmetic number, because the mean of its divisors is an integer number (5840706545856).

Almost surely, 2^{100122020020020} is an apocalyptic number.

100122020020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122020020020 is an abundant number, since it is smaller than the sum of its proper divisors (180231894181068).

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

100122020020020 is a wasteful number, since it uses less digits than its factorization.

100122020020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72965160 (or 72965158 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100122020020020 its reverse (20020020221001), we get a palindrome (120142040241021).

The spelling of 100122020020020 in words is "one hundred trillion, one hundred twenty-two billion, twenty million, twenty thousand, twenty".