100213101020 has 24 divisors (see below), whose sum is σ = 210758393664. Its totient is φ = 40026024896.

The previous prime is 100213100929. The next prime is 100213101029. The reversal of 100213101020 is 20101312001.

It is a junction number, because it is equal to n+sod(n) for n = 100213100992 and 100213101010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100213101029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3687092 + ... + 3714171.

It is an arithmetic number, because the mean of its divisors is an integer number (8781599736).

Almost surely, 2^100213101020 is an apocalyptic number.

100213101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100213101020 is an abundant number, since it is smaller than the sum of its proper divisors (110545292644).

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

100213101020 is a wasteful number, since it uses less digits than its factorization.

100213101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7401949 (or 7401947 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100213101020 its reverse (20101312001), we get a palindrome (120314413021).

The spelling of 100213101020 in words is "one hundred billion, two hundred thirteen million, one hundred one thousand, twenty".