2101896592512 has 256 divisors, whose sum is σ = 6016792320000. Its totient is φ = 648039591936.

The previous prime is 2101896592507. The next prime is 2101896592517. The reversal of 2101896592512 is 2152956981012.

It is an interprime number because it is at equal distance from previous prime (2101896592507) and next prime (2101896592517).

It is a super-2 number, since 2×2101896592512² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2101896592517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143672814 + ... + 143687442.

It is an arithmetic number, because the mean of its divisors is an integer number (23503095000).

Almost surely, 2^{2101896592512} 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 2101896592512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008396160000).

2101896592512 is an abundant number, since it is smaller than the sum of its proper divisors (3914895727488).

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

2101896592512 is a wasteful number, since it uses less digits than its factorization.

2101896592512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15131 (or 15119 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 51.

The spelling of 2101896592512 in words is "two trillion, one hundred one billion, eight hundred ninety-six million, five hundred ninety-two thousand, five hundred twelve".