10012113111 has 96 divisors (see below), whose sum is σ = 18477849600. Its totient is φ = 4739454720.

The previous prime is 10012113109. The next prime is 10012113143. The reversal of 10012113111 is 11131121001.

10012113111 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10012113111 - 2¹ = 10012113109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012113151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1657645 + ... + 1663673.

It is an arithmetic number, because the mean of its divisors is an integer number (192477600).

Almost surely, 2^10012113111 is an apocalyptic number.

10012113111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10012113111 is a deficient number, since it is larger than the sum of its proper divisors (8465736489).

10012113111 is a wasteful number, since it uses less digits than its factorization.

10012113111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6149 (or 6142 counting only the distinct ones).

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

Adding to 10012113111 its reverse (11131121001), we get a palindrome (21143234112).

It can be divided in two parts, 1001 and 2113111, that added together give a palindrome (2114112).

The spelling of 10012113111 in words is "ten billion, twelve million, one hundred thirteen thousand, one hundred eleven".