10100010111110 has 64 divisors (see below), whose sum is σ = 19506377366784. Its totient is φ = 3751858944000.

The previous prime is 10100010111073. The next prime is 10100010111119. The reversal of 10100010111110 is 1111101000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100010111119) 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, 4026995 + ... + 6034625.

It is an arithmetic number, because the mean of its divisors is an integer number (304787146356).

Almost surely, 2^{10100010111110} is an apocalyptic number.

10100010111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100010111110 is a deficient number, since it is larger than the sum of its proper divisors (9406367255674).

10100010111110 is a wasteful number, since it uses less digits than its factorization.

10100010111110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008049.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10100010111110 its reverse (1111101000101), we get a palindrome (11211111111211).

The spelling of 10100010111110 in words is "ten trillion, one hundred billion, ten million, one hundred eleven thousand, one hundred ten".