10012112202001 has 12 divisors (see below), whose sum is σ = 12542646056052. Its totient is φ = 7921671192288.

The previous prime is 10012112201941. The next prime is 10012112202049. The reversal of 10012112202001 is 10020221121001.

It can be written as a sum of positive squares in 2 ways, for example, as 2262012992001 + 7750099210000 = 1503999^2 + 2783900^2 .

It is not a de Polignac number, because 10012112202001 - 2⁷ = 10012112201873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10012112202091) 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, 7858800150 + ... + 7858801423.

It is an arithmetic number, because the mean of its divisors is an integer number (1045220504671).

Almost surely, 2^{10012112202001} is an apocalyptic number.

It is an amenable number.

10012112202001 is a deficient number, since it is larger than the sum of its proper divisors (2530533854051).

10012112202001 is a wasteful number, since it uses less digits than its factorization.

10012112202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15717601600 (or 15717601593 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10012112202001 its reverse (10020221121001), we get a palindrome (20032333323002).

The spelling of 10012112202001 in words is "ten trillion, twelve billion, one hundred twelve million, two hundred two thousand, one".