10100110211013 has 16 divisors (see below), whose sum is σ = 13907194735616. Its totient is φ = 6515227120320.

The previous prime is 10100110210997. The next prime is 10100110211027. The reversal of 10100110211013 is 31011201100101.

It is not a de Polignac number, because 10100110211013 - 2⁴ = 10100110210997 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10100110211013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100110211053) 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, 251338981 + ... + 251379162.

It is an arithmetic number, because the mean of its divisors is an integer number (869199670976).

Almost surely, 2^{10100110211013} is an apocalyptic number.

It is an amenable number.

10100110211013 is a deficient number, since it is larger than the sum of its proper divisors (3807084524603).

10100110211013 is a wasteful number, since it uses less digits than its factorization.

10100110211013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502718364.

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

Adding to 10100110211013 its reverse (31011201100101), we get a palindrome (41111311311114).

The spelling of 10100110211013 in words is "ten trillion, one hundred billion, one hundred ten million, two hundred eleven thousand, thirteen".