100102121020020 has 144 divisors (see below), whose sum is σ = 326065015963008. Its totient is φ = 22879214104320.

The previous prime is 100102121019899. The next prime is 100102121020067. The reversal of 100102121020020 is 20020121201001.

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 = 100102121019978 and 100102121020005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52515769 + ... + 54388511.

It is an arithmetic number, because the mean of its divisors is an integer number (2264340388632).

Almost surely, 2^{100102121020020} is an apocalyptic number.

100102121020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102121020020 is an abundant number, since it is smaller than the sum of its proper divisors (225962894942988).

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

100102121020020 is a wasteful number, since it uses less digits than its factorization.

100102121020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890950 (or 1890941 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100102121020020 its reverse (20020121201001), we get a palindrome (120122242221021).

The spelling of 100102121020020 in words is "one hundred trillion, one hundred two billion, one hundred twenty-one million, twenty thousand, twenty".