1012120010001 has 12 divisors (see below), whose sum is σ = 1461972282628. Its totient is φ = 674736908544.

The previous prime is 1012120009997. The next prime is 1012120010003. The reversal of 1012120010001 is 1000100212101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 995395313025 + 16724696976 = 997695^2 + 129324^2 .

It is not a de Polignac number, because 1012120010001 - 2² = 1012120009997 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1012120010003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126760 + ... + 1428393.

Almost surely, 2^{1012120010001} is an apocalyptic number.

It is an amenable number.

1012120010001 is a deficient number, since it is larger than the sum of its proper divisors (449852272627).

1012120010001 is a wasteful number, since it uses less digits than its factorization.

1012120010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627472 (or 1627469 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1012120010001 its reverse (1000100212101), we get a palindrome (2012220222102).

The spelling of 1012120010001 in words is "one trillion, twelve billion, one hundred twenty million, ten thousand, one".