101011000101110 has 64 divisors (see below), whose sum is σ = 200279957889024. Its totient is φ = 36373683561600.

The previous prime is 101011000101079. The next prime is 101011000101113. The reversal of 101011000101110 is 11101000110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011000101113) 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, 524154092 + ... + 524346768.

It is an arithmetic number, because the mean of its divisors is an integer number (3129374342016).

Almost surely, 2^{101011000101110} is an apocalyptic number.

101011000101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101011000101110 is a deficient number, since it is larger than the sum of its proper divisors (99268957787914).

101011000101110 is a wasteful number, since it uses less digits than its factorization.

101011000101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239069.

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

Adding to 101011000101110 its reverse (11101000110101), we get a palindrome (112112000211211).

The spelling of 101011000101110 in words is "one hundred one trillion, eleven billion, one hundred one thousand, one hundred ten".