1012111110000 has 150 divisors (see below), whose sum is σ = 3539499060240. Its totient is φ = 269896272000.

The previous prime is 1012111109981. The next prime is 1012111110007. The reversal of 1012111110000 is 111112101.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012111110007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5532840 + ... + 5712839.

Almost surely, 2^{1012111110000} is an apocalyptic number.

1012111110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012111110000 is an abundant number, since it is smaller than the sum of its proper divisors (2527387950240).

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

1012111110000 is a wasteful number, since it uses less digits than its factorization.

1012111110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11245713 (or 11245689 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1012111110000 its reverse (111112101), we get a palindrome (1012222222101).

The spelling of 1012111110000 in words is "one trillion, twelve billion, one hundred eleven million, one hundred ten thousand".