101120001011112 has 32 divisors (see below), whose sum is σ = 252800338099680. Its totient is φ = 33706622260800.

The previous prime is 101120001011059. The next prime is 101120001011129. The reversal of 101120001011112 is 211110100021101.

101120001011112 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 pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19187443 + ... + 23883005.

It is an arithmetic number, because the mean of its divisors is an integer number (7900010565615).

Almost surely, 2^{101120001011112} is an apocalyptic number.

101120001011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101120001011112 is an abundant number, since it is smaller than the sum of its proper divisors (151680337088568).

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

101120001011112 is a wasteful number, since it uses less digits than its factorization.

101120001011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5592873 (or 5592869 counting only the distinct ones).

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

Adding to 101120001011112 its reverse (211110100021101), we get a palindrome (312230101032213).

The spelling of 101120001011112 in words is "one hundred one trillion, one hundred twenty billion, one million, eleven thousand, one hundred twelve".