1012111311201 has 24 divisors (see below), whose sum is σ = 1424613583584. Its totient is φ = 639062896320.

The previous prime is 1012111311187. The next prime is 1012111311223. The reversal of 1012111311201 is 1021131112101.

It is not a de Polignac number, because 1012111311201 - 2⁶ = 1012111311137 is a prime.

It is a super-2 number, since 2×1012111311201² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1012111311241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4138405 + ... + 4376141.

It is an arithmetic number, because the mean of its divisors is an integer number (59358899316).

Almost surely, 2^{1012111311201} is an apocalyptic number.

It is an amenable number.

1012111311201 is a deficient number, since it is larger than the sum of its proper divisors (412502272383).

1012111311201 is a wasteful number, since it uses less digits than its factorization.

1012111311201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241709 (or 241690 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 1012111311201 its reverse (1021131112101), we get a palindrome (2033242423302).

The spelling of 1012111311201 in words is "one trillion, twelve billion, one hundred eleven million, three hundred eleven thousand, two hundred one".