100212020013 has 16 divisors (see below), whose sum is σ = 157969687680. Its totient is φ = 55289390016.

The previous prime is 100212019993. The next prime is 100212020059. The reversal of 100212020013 is 310020212001.

It is not a de Polignac number, because 100212020013 - 2¹⁸ = 100211757869 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212020813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82275270 + ... + 82276487.

It is an arithmetic number, because the mean of its divisors is an integer number (9873105480).

Almost surely, 2^100212020013 is an apocalyptic number.

It is an amenable number.

100212020013 is a deficient number, since it is larger than the sum of its proper divisors (57757667667).

100212020013 is a wasteful number, since it uses less digits than its factorization.

100212020013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164551796.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100212020013 its reverse (310020212001), we get a palindrome (410232232014).

The spelling of 100212020013 in words is "one hundred billion, two hundred twelve million, twenty thousand, thirteen".