101121110112 has 96 divisors (see below), whose sum is σ = 297400529664. Its totient is φ = 29814566400.

The previous prime is 101121110071. The next prime is 101121110147. The reversal of 101121110112 is 211011121101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1254964 + ... + 1333107.

It is an arithmetic number, because the mean of its divisors is an integer number (3097922184).

Almost surely, 2^101121110112 is an apocalyptic number.

101121110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101121110112 is an abundant number, since it is smaller than the sum of its proper divisors (196279419552).

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

101121110112 is a wasteful number, since it uses less digits than its factorization.

101121110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588132 (or 2588124 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101121110112 its reverse (211011121101), we get a palindrome (312132231213).

The spelling of 101121110112 in words is "one hundred one billion, one hundred twenty-one million, one hundred ten thousand, one hundred twelve".