10200100121983 has 16 divisors (see below), whose sum is σ = 10254324842496. Its totient is φ = 10146034997280.

The previous prime is 10200100121927. The next prime is 10200100121989. The reversal of 10200100121983 is 38912100100201.

It is a cyclic number.

It is not a de Polignac number, because 10200100121983 - 2²⁹ = 10199563251071 is a prime.

It is a super-2 number, since 2×10200100121983² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200100121989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 616423716 + ... + 616440262.

It is an arithmetic number, because the mean of its divisors is an integer number (640895302656).

Almost surely, 2^{10200100121983} is an apocalyptic number.

10200100121983 is a deficient number, since it is larger than the sum of its proper divisors (54224720513).

10200100121983 is a wasteful number, since it uses less digits than its factorization.

10200100121983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21174.

The product of its (nonzero) digits is 864, while the sum is 28.

The spelling of 10200100121983 in words is "ten trillion, two hundred billion, one hundred million, one hundred twenty-one thousand, nine hundred eighty-three".