100010122213 has 8 divisors (see below), whose sum is σ = 100934593760. Its totient is φ = 99085777200.

The previous prime is 100010122183. The next prime is 100010122237. The reversal of 100010122213 is 312221010001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100010122213 - 2⁵ = 100010122181 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100010122193 and 100010122202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010122813) 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, 2448706 + ... + 2489212.

It is an arithmetic number, because the mean of its divisors is an integer number (12616824220).

Almost surely, 2^100010122213 is an apocalyptic number.

It is an amenable number.

100010122213 is a deficient number, since it is larger than the sum of its proper divisors (924471547).

100010122213 is a wasteful number, since it uses less digits than its factorization.

100010122213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63267.

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

Adding to 100010122213 its reverse (312221010001), we get a palindrome (412231132214).

The spelling of 100010122213 in words is "one hundred billion, ten million, one hundred twenty-two thousand, two hundred thirteen".