101000000011110 has 96 divisors (see below), whose sum is σ = 251595043231392. Its totient is φ = 25945944883200.

The previous prime is 101000000011087. The next prime is 101000000011151. The reversal of 101000000011110 is 11110000000101.

It is a Harshad number since it is a multiple of its sum of digits (6).

101000000011110 is a modest number, since divided by 11110 gives 10100 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8026267 + ... + 16322406.

It is an arithmetic number, because the mean of its divisors is an integer number (2620781700327).

Almost surely, 2^{101000000011110} is an apocalyptic number.

101000000011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101000000011110 is an abundant number, since it is smaller than the sum of its proper divisors (150595043220282).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101000000011110 is a wasteful number, since it uses less digits than its factorization.

101000000011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24348858 (or 24348821 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101000000011110 its reverse (11110000000101), we get a palindrome (112110000011211).

The spelling of 101000000011110 in words is "one hundred one trillion, eleven thousand, one hundred ten".