100212213013 has 16 divisors (see below), whose sum is σ = 109659600000. Its totient is φ = 90821465280.

The previous prime is 100212213001. The next prime is 100212213077. The reversal of 100212213013 is 310312212001.

It is a cyclic number.

It is not a de Polignac number, because 100212213013 - 2¹⁷ = 100212081941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212213113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4819363 + ... + 4840111.

It is an arithmetic number, because the mean of its divisors is an integer number (6853725000).

Almost surely, 2^100212213013 is an apocalyptic number.

It is an amenable number.

100212213013 is a deficient number, since it is larger than the sum of its proper divisors (9447386987).

100212213013 is a wasteful number, since it uses less digits than its factorization.

100212213013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22092.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100212213013 its reverse (310312212001), we get a palindrome (410524425014).

The spelling of 100212213013 in words is "one hundred billion, two hundred twelve million, two hundred thirteen thousand, thirteen".