2010442032001 has 16 divisors (see below), whose sum is σ = 2215401608448. Its totient is φ = 1812821212800.

The previous prime is 2010442031989. The next prime is 2010442032047. The reversal of 2010442032001 is 1002302440102.

It is not a de Polignac number, because 2010442032001 - 2¹⁹ = 2010441507713 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2010442032001.

It is not an unprimeable number, because it can be changed into a prime (2010442032601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2839455 + ... + 3476116.

It is an arithmetic number, because the mean of its divisors is an integer number (138462600528).

Almost surely, 2^{2010442032001} is an apocalyptic number.

It is an amenable number.

2010442032001 is a deficient number, since it is larger than the sum of its proper divisors (204959576447).

2010442032001 is a wasteful number, since it uses less digits than its factorization.

2010442032001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6316152.

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 2010442032001 its reverse (1002302440102), we get a palindrome (3012744472103).

The spelling of 2010442032001 in words is "two trillion, ten billion, four hundred forty-two million, thirty-two thousand, one".