100120102213 has 4 divisors (see below), whose sum is σ = 100561160160. Its totient is φ = 99679044268.

The previous prime is 100120102111. The next prime is 100120102217. The reversal of 100120102213 is 312201021001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 312201021001 = 102677 ⋅3040613.

It is a cyclic number.

It is not a de Polignac number, because 100120102213 - 2⁹ = 100120101701 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100120102193 and 100120102202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120102217) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 220528633 + ... + 220529086.

It is an arithmetic number, because the mean of its divisors is an integer number (25140290040).

Almost surely, 2^100120102213 is an apocalyptic number.

It is an amenable number.

100120102213 is a deficient number, since it is larger than the sum of its proper divisors (441057947).

100120102213 is an equidigital number, since it uses as much as digits as its factorization.

100120102213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441057946.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100120102213 its reverse (312201021001), we get a palindrome (412321123214).

The spelling of 100120102213 in words is "one hundred billion, one hundred twenty million, one hundred two thousand, two hundred thirteen".