101111111101112 has 192 divisors, whose sum is σ = 224282999831040. Its totient is φ = 42603853824000.

The previous prime is 101111111101093. The next prime is 101111111101177. The reversal of 101111111101112 is 211101111111101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4363303958 + ... + 4363327130.

It is an arithmetic number, because the mean of its divisors is an integer number (1168140624120).

Almost surely, 2^{101111111101112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101111111101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112141499915520).

101111111101112 is an abundant number, since it is smaller than the sum of its proper divisors (123171888729928).

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

101111111101112 is a wasteful number, since it uses less digits than its factorization.

101111111101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24062 (or 24051 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 14.

Adding to 101111111101112 its reverse (211101111111101), we get a palindrome (312212222212213).

The spelling of 101111111101112 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven million, one hundred one thousand, one hundred twelve".