10100110112213 has 16 divisors (see below), whose sum is σ = 11201353702272. Its totient is φ = 9030020160000.

The previous prime is 10100110112167. The next prime is 10100110112263. The reversal of 10100110112213 is 31221101100101.

It is a cyclic number.

It is not a de Polignac number, because 10100110112213 - 2²⁴ = 10100093334997 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 (10100110112263) 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, 15811856 + ... + 16438217.

It is an arithmetic number, because the mean of its divisors is an integer number (700084606392).

Almost surely, 2^{10100110112213} is an apocalyptic number.

It is an amenable number.

10100110112213 is a deficient number, since it is larger than the sum of its proper divisors (1101243590059).

10100110112213 is a wasteful number, since it uses less digits than its factorization.

10100110112213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32250556.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 10100110112213 its reverse (31221101100101), we get a palindrome (41321211212314).

The spelling of 10100110112213 in words is "ten trillion, one hundred billion, one hundred ten million, one hundred twelve thousand, two hundred thirteen".