101000000101110 has 32 divisors (see below), whose sum is σ = 264436363901952. Its totient is φ = 24484848509280.

The previous prime is 101000000101097. The next prime is 101000000101111. The reversal of 101000000101110 is 11101000000101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000000101111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153030302854 + ... + 153030303513.

It is an arithmetic number, because the mean of its divisors is an integer number (8263636371936).

Almost surely, 2^{101000000101110} is an apocalyptic number.

101000000101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101000000101110 is an abundant number, since it is smaller than the sum of its proper divisors (163436363800842).

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

101000000101110 is a wasteful number, since it uses less digits than its factorization.

101000000101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306060606388.

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

Adding to 101000000101110 its reverse (11101000000101), we get a palindrome (112101000101211).

The spelling of 101000000101110 in words is "one hundred one trillion, one hundred one thousand, one hundred ten".