101012111110110 has 128 divisors (see below), whose sum is σ = 268601256710784. Its totient is φ = 24201455616000.

The previous prime is 101012111110087. The next prime is 101012111110111. The reversal of 101012111110110 is 11011111210101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012111110111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49500391 + ... + 51500610.

It is an arithmetic number, because the mean of its divisors is an integer number (2098447318053).

Almost surely, 2^{101012111110110} is an apocalyptic number.

101012111110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101012111110110 is an abundant number, since it is smaller than the sum of its proper divisors (167589145600674).

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

101012111110110 is a wasteful number, since it uses less digits than its factorization.

101012111110110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101001118.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 101012111110110 its reverse (11011111210101), we get a palindrome (112023222320211).

Subtracting from 101012111110110 its reverse (11011111210101), we obtain a palindrome (90000999900009).

The spelling of 101012111110110 in words is "one hundred one trillion, twelve billion, one hundred eleven million, one hundred ten thousand, one hundred ten".