101111101100110 has 64 divisors (see below), whose sum is σ = 183679138209600. Its totient is φ = 40072791462912.

The previous prime is 101111101100099. The next prime is 101111101100117. The reversal of 101111101100110 is 11001101111101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111101100117) 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, 5955059601 + ... + 5955076579.

It is an arithmetic number, because the mean of its divisors is an integer number (2869986534525).

Almost surely, 2^{101111101100110} is an apocalyptic number.

101111101100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101111101100110 is a deficient number, since it is larger than the sum of its proper divisors (82568037109490).

101111101100110 is a wasteful number, since it uses less digits than its factorization.

101111101100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27685.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 101111101100110 its reverse (11001101111101), we get a palindrome (112112202211211).

The spelling of 101111101100110 in words is "one hundred one trillion, one hundred eleven billion, one hundred one million, one hundred thousand, one hundred ten".