101111110100110 has 64 divisors (see below), whose sum is σ = 221289049370880. Its totient is φ = 32783562846720.

The previous prime is 101111110100069. The next prime is 101111110100173. The reversal of 101111110100110 is 11001011111101.

It is a happy number.

It is a super-3 number, since 3×101111110100110³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1422862164 + ... + 1422933223.

It is an arithmetic number, because the mean of its divisors is an integer number (3457641396420).

Almost surely, 2^{101111110100110} is an apocalyptic number.

101111110100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101111110100110 is an abundant number, since it is smaller than the sum of its proper divisors (120177939270770).

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

101111110100110 is a wasteful number, since it uses less digits than its factorization.

101111110100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845795441.

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

Adding to 101111110100110 its reverse (11001011111101), we get a palindrome (112112121211211).

The spelling of 101111110100110 in words is "one hundred one trillion, one hundred eleven billion, one hundred ten million, one hundred thousand, one hundred ten".