100100099879821 has 2 divisors, whose sum is σ = 100100099879822. Its totient is φ = 100100099879820.

The previous prime is 100100099879737. The next prime is 100100099879929. The reversal of 100100099879821 is 128978990001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99806373818596 + 293726061225 = 9990314^2 + 541965^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100099879821 - 2³⁹ = 99550344065933 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100099879321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050049939910 + 50050049939911.

It is an arithmetic number, because the mean of its divisors is an integer number (50050049939911).

Almost surely, 2^{100100099879821} is an apocalyptic number.

It is an amenable number.

100100099879821 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100099879821 is an equidigital number, since it uses as much as digits as its factorization.

100100099879821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 653184, while the sum is 55.

The spelling of 100100099879821 in words is "one hundred trillion, one hundred billion, ninety-nine million, eight hundred seventy-nine thousand, eight hundred twenty-one".