101111001202112 has 56 divisors (see below), whose sum is σ = 219754379400192. Its totient is φ = 45776440160000.

The previous prime is 101111001202111. The next prime is 101111001202129. The reversal of 101111001202112 is 211202100111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111001202111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285926048 + ... + 286279455.

It is an arithmetic number, because the mean of its divisors is an integer number (3924185346432).

Almost surely, 2^{101111001202112} is an apocalyptic number.

It is an amenable number.

101111001202112 is an abundant number, since it is smaller than the sum of its proper divisors (118643378198080).

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

101111001202112 is a wasteful number, since it uses less digits than its factorization.

101111001202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572205777 (or 572205767 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101111001202112 its reverse (211202100111101), we get a palindrome (312313101313213).

The spelling of 101111001202112 in words is "one hundred one trillion, one hundred eleven billion, one million, two hundred two thousand, one hundred twelve".