2012022101001 has 32 divisors (see below), whose sum is σ = 2961207336960. Its totient is φ = 1205024472000.

The previous prime is 2012022100919. The next prime is 2012022101053. The reversal of 2012022101001 is 1001012202102.

It is not a de Polignac number, because 2012022101001 - 2¹⁸ = 2012021838857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2012022102001) 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, 1166040 + ... + 2320278.

It is an arithmetic number, because the mean of its divisors is an integer number (92537729280).

Almost surely, 2^{2012022101001} is an apocalyptic number.

It is an amenable number.

2012022101001 is a deficient number, since it is larger than the sum of its proper divisors (949185235959).

2012022101001 is a wasteful number, since it uses less digits than its factorization.

2012022101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154877.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2012022101001 its reverse (1001012202102), we get a palindrome (3013034303103).

The spelling of 2012022101001 in words is "two trillion, twelve billion, twenty-two million, one hundred one thousand, one".