100020121020 has 72 divisors (see below), whose sum is σ = 305430652800. Its totient is φ = 26493018240.

The previous prime is 100020120979. The next prime is 100020121021. The reversal of 100020121020 is 20121020001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100020120993 and 100020121011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020121021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1837836 + ... + 1891475.

It is an arithmetic number, because the mean of its divisors is an integer number (4242092400).

Almost surely, 2^100020121020 is an apocalyptic number.

100020121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020121020 is an abundant number, since it is smaller than the sum of its proper divisors (205410531780).

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

100020121020 is a wasteful number, since it uses less digits than its factorization.

100020121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3729475 (or 3729470 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100020121020 its reverse (20121020001), we get a palindrome (120141141021).

The spelling of 100020121020 in words is "one hundred billion, twenty million, one hundred twenty-one thousand, twenty".