101121002100999 has 64 divisors (see below), whose sum is σ = 157887110400000. Its totient is φ = 63875136390912.

The previous prime is 101121002100967. The next prime is 101121002101037. The reversal of 101121002100999 is 999001200121101.

It is not a de Polignac number, because 101121002100999 - 2⁵ = 101121002100967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121002100299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6929622 + ... + 15819660.

It is an arithmetic number, because the mean of its divisors is an integer number (2466986100000).

Almost surely, 2^{101121002100999} is an apocalyptic number.

101121002100999 is a deficient number, since it is larger than the sum of its proper divisors (56766108299001).

101121002100999 is a wasteful number, since it uses less digits than its factorization.

101121002100999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8890349 (or 8890343 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 36.

The spelling of 101121002100999 in words is "one hundred one trillion, one hundred twenty-one billion, two million, one hundred thousand, nine hundred ninety-nine".