1012120112001 has 32 divisors (see below), whose sum is σ = 1467231846400. Its totient is φ = 618238189440.

The previous prime is 1012120111999. The next prime is 1012120112021. The reversal of 1012120112001 is 1002110212101.

It is not a de Polignac number, because 1012120112001 - 2¹ = 1012120111999 is a prime.

It is a super-2 number, since 2×1012120112001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1012120112021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2755080 + ... + 3100758.

It is an arithmetic number, because the mean of its divisors is an integer number (45850995200).

Almost surely, 2^{1012120112001} is an apocalyptic number.

It is an amenable number.

1012120112001 is a deficient number, since it is larger than the sum of its proper divisors (455111734399).

1012120112001 is a wasteful number, since it uses less digits than its factorization.

1012120112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347389.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1012120112001 its reverse (1002110212101), we get a palindrome (2014230324102).

The spelling of 1012120112001 in words is "one trillion, twelve billion, one hundred twenty million, one hundred twelve thousand, one".