2101022656992 has 432 divisors, whose sum is σ = 6991649421120. Its totient is φ = 596730710016.

The previous prime is 2101022656961. The next prime is 2101022657023. The reversal of 2101022656992 is 2996562201012.

It is an interprime number because it is at equal distance from previous prime (2101022656961) and next prime (2101022657023).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2636163538 + ... + 2636164334.

It is an arithmetic number, because the mean of its divisors is an integer number (16184373660).

Almost surely, 2^{2101022656992} 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 2101022656992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495824710560).

2101022656992 is an abundant number, since it is smaller than the sum of its proper divisors (4890626764128).

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

2101022656992 is a wasteful number, since it uses less digits than its factorization.

2101022656992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 2101022656992 in words is "two trillion, one hundred one billion, twenty-two million, six hundred fifty-six thousand, nine hundred ninety-two".