1012111101120 has 112 divisors (see below), whose sum is σ = 3672517448448. Its totient is φ = 231339678720.

The previous prime is 1012111101119. The next prime is 1012111101139. The reversal of 1012111101120 is 211011112101.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a junction number, because it is equal to n+sod(n) for n = 1012111101096 and 1012111101105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75299166 + ... + 75312605.

Almost surely, 2^{1012111101120} is an apocalyptic number.

1012111101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012111101120 is an abundant number, since it is smaller than the sum of its proper divisors (2660406347328).

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

1012111101120 is a wasteful number, since it uses less digits than its factorization.

1012111101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150611798 (or 150611788 counting only the distinct ones).

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

Adding to 1012111101120 its reverse (211011112101), we get a palindrome (1223122213221).

The spelling of 1012111101120 in words is "one trillion, twelve billion, one hundred eleven million, one hundred one thousand, one hundred twenty".