101100001110 has 128 divisors (see below), whose sum is σ = 259455882240. Its totient is φ = 25139520000.

The previous prime is 101100001063. The next prime is 101100001111. The reversal of 101100001110 is 11100001101.

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 (101100001111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9954535 + ... + 9964685.

It is an arithmetic number, because the mean of its divisors is an integer number (2026999080).

Almost surely, 2^101100001110 is an apocalyptic number.

101100001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101100001110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129727941120).

101100001110 is an abundant number, since it is smaller than the sum of its proper divisors (158355881130).

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

101100001110 is a wasteful number, since it uses less digits than its factorization.

101100001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10454.

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

Adding to 101100001110 its reverse (11100001101), we get a palindrome (112200002211).

Subtracting from 101100001110 its reverse (11100001101), we obtain a palindrome (90000000009).

The spelling of 101100001110 in words is "one hundred one billion, one hundred million, one thousand, one hundred ten".