10100213121020 has 24 divisors (see below), whose sum is σ = 23138670059568. Its totient is φ = 3672804771200.

The previous prime is 10100213121007. The next prime is 10100213121083. The reversal of 10100213121020 is 2012131200101.

It is a junction number, because it is equal to n+sod(n) for n = 10100213120986 and 10100213121004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22955029601 + ... + 22955030040.

It is an arithmetic number, because the mean of its divisors is an integer number (964111252482).

Almost surely, 2^{10100213121020} is an apocalyptic number.

10100213121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100213121020 is an abundant number, since it is smaller than the sum of its proper divisors (13038456938548).

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

10100213121020 is a wasteful number, since it uses less digits than its factorization.

10100213121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45910059661 (or 45910059659 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10100213121020 its reverse (2012131200101), we get a palindrome (12112344321121).

The spelling of 10100213121020 in words is "ten trillion, one hundred billion, two hundred thirteen million, one hundred twenty-one thousand, twenty".