2010110211972 has 36 divisors (see below), whose sum is σ = 5081373726156. Its totient is φ = 670002214080.

The previous prime is 2010110211959. The next prime is 2010110211973. The reversal of 2010110211972 is 2791120110102.

It can be written as a sum of positive squares in 2 ways, for example, as 210042556416 + 1800067655556 = 458304^2 + 1341666^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2010110211973) 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, 725223 + ... + 2132174.

It is an arithmetic number, because the mean of its divisors is an integer number (141149270171).

Almost surely, 2^{2010110211972} is an apocalyptic number.

It is an amenable number.

2010110211972 is an abundant number, since it is smaller than the sum of its proper divisors (3071263514184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2010110211972 is a wasteful number, since it uses less digits than its factorization.

2010110211972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876948 (or 2876943 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The spelling of 2010110211972 in words is "two trillion, ten billion, one hundred ten million, two hundred eleven thousand, nine hundred seventy-two".