2122012101001 has 32 divisors (see below), whose sum is σ = 2407004127360. Its totient is φ = 1857049818624.

The previous prime is 2122012100993. The next prime is 2122012101007. The reversal of 2122012101001 is 1001012102212.

It is not a de Polignac number, because 2122012101001 - 2³ = 2122012100993 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2122012101007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7771866 + ... + 8040268.

It is an arithmetic number, because the mean of its divisors is an integer number (75218878980).

Almost surely, 2^{2122012101001} is an apocalyptic number.

It is an amenable number.

2122012101001 is a deficient number, since it is larger than the sum of its proper divisors (284992026359).

2122012101001 is a wasteful number, since it uses less digits than its factorization.

2122012101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268825.

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

Adding to 2122012101001 its reverse (1001012102212), we get a palindrome (3123024203213).

The spelling of 2122012101001 in words is "two trillion, one hundred twenty-two billion, twelve million, one hundred one thousand, one".