2010572121012 has 192 divisors, whose sum is σ = 5800766275584. Its totient is φ = 527803960320.

The previous prime is 2010572120993. The next prime is 2010572121013. The reversal of 2010572121012 is 2101212750102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010572121013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217896343 + ... + 217905569.

It is an arithmetic number, because the mean of its divisors is an integer number (30212324352).

Almost surely, 2^{2010572121012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010572121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900383137792).

2010572121012 is an abundant number, since it is smaller than the sum of its proper divisors (3790194154572).

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

2010572121012 is a wasteful number, since it uses less digits than its factorization.

2010572121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10158 (or 10156 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

Adding to 2010572121012 its reverse (2101212750102), we get a palindrome (4111784871114).

The spelling of 2010572121012 in words is "two trillion, ten billion, five hundred seventy-two million, one hundred twenty-one thousand, twelve".