10102312011 has 32 divisors (see below), whose sum is σ = 15346298880. Its totient is φ = 5851392800.

The previous prime is 10102311953. The next prime is 10102312021. The reversal of 10102312011 is 11021320101.

10102312011 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10102312011 - 2¹⁹ = 10101787723 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10102312021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 996076 + ... + 1006166.

It is an arithmetic number, because the mean of its divisors is an integer number (479571840).

Almost surely, 2^10102312011 is an apocalyptic number.

10102312011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10102312011 is a deficient number, since it is larger than the sum of its proper divisors (5243986869).

10102312011 is a wasteful number, since it uses less digits than its factorization.

10102312011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11447.

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

Adding to 10102312011 its reverse (11021320101), we get a palindrome (21123632112).

The spelling of 10102312011 in words is "ten billion, one hundred two million, three hundred twelve thousand, eleven".