10211100110013 has 64 divisors (see below), whose sum is σ = 15384265344000. Its totient is φ = 5970015912960.

The previous prime is 10211100110009. The next prime is 10211100110021. The reversal of 10211100110013 is 31001100111201.

It is not a de Polignac number, because 10211100110013 - 2² = 10211100110009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211100110093) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83329413 + ... + 83451861.

It is an arithmetic number, because the mean of its divisors is an integer number (240379146000).

Almost surely, 2^{10211100110013} is an apocalyptic number.

It is an amenable number.

10211100110013 is a deficient number, since it is larger than the sum of its proper divisors (5173165233987).

10211100110013 is a wasteful number, since it uses less digits than its factorization.

10211100110013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123082.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 10211100110013 its reverse (31001100111201), we get a palindrome (41212200221214).

The spelling of 10211100110013 in words is "ten trillion, two hundred eleven billion, one hundred million, one hundred ten thousand, thirteen".