101120111000112 has 320 divisors, whose sum is σ = 288600265008000. Its totient is φ = 30377967943680.

The previous prime is 101120111000071. The next prime is 101120111000131. The reversal of 101120111000112 is 211000111021101.

101120111000112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 490245162 + ... + 490451382.

It is an arithmetic number, because the mean of its divisors is an integer number (901875828150).

Almost surely, 2^{101120111000112} is an apocalyptic number.

101120111000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101120111000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144300132504000).

101120111000112 is an abundant number, since it is smaller than the sum of its proper divisors (187480154007888).

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

101120111000112 is a wasteful number, since it uses less digits than its factorization.

101120111000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206544 (or 206538 counting only the distinct ones).

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

Adding to 101120111000112 its reverse (211000111021101), we get a palindrome (312120222021213).

The spelling of 101120111000112 in words is "one hundred one trillion, one hundred twenty billion, one hundred eleven million, one hundred twelve", and thus it is an aban number.