2121080513643 has 384 divisors, whose sum is σ = 4309953822720. Its totient is φ = 973191905280.

The previous prime is 2121080513627. The next prime is 2121080513659. The reversal of 2121080513643 is 3463150801212.

2121080513643 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 0 + 8 + 0 + 5 + 1 + 3 + 643 = 666.

It is an interprime number because it is at equal distance from previous prime (2121080513627) and next prime (2121080513659).

It is not a de Polignac number, because 2121080513643 - 2⁴ = 2121080513627 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2121080513598 and 2121080513607.

It is not an unprimeable number, because it can be changed into a prime (2121080513663) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1214126496 + ... + 1214128242.

It is an arithmetic number, because the mean of its divisors is an integer number (11223838080).

Almost surely, 2^{2121080513643} is an apocalyptic number.

2121080513643 is an abundant number, since it is smaller than the sum of its proper divisors (2188873309077).

2121080513643 is a wasteful number, since it uses less digits than its factorization.

2121080513643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 2121080513643 in words is "two trillion, one hundred twenty-one billion, eighty million, five hundred thirteen thousand, six hundred forty-three".