1012100111001 has 48 divisors (see below), whose sum is σ = 1714341178368. Its totient is φ = 563306572800.

The previous prime is 1012100110997. The next prime is 1012100111027. The reversal of 1012100111001 is 1001110012101.

It is not a de Polignac number, because 1012100111001 - 2² = 1012100110997 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1012100131001) 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 47 ways as a sum of consecutive naturals, for example, 1245121 + ... + 1890641.

It is an arithmetic number, because the mean of its divisors is an integer number (35715441216).

Almost surely, 2^{1012100111001} is an apocalyptic number.

It is an amenable number.

1012100111001 is a deficient number, since it is larger than the sum of its proper divisors (702241067367).

1012100111001 is a wasteful number, since it uses less digits than its factorization.

1012100111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646182 (or 646179 counting only the distinct ones).

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

Adding to 1012100111001 its reverse (1001110012101), we get a palindrome (2013210123102).

The spelling of 1012100111001 in words is "one trillion, twelve billion, one hundred million, one hundred eleven thousand, one".