102121001101999 has 96 divisors (see below), whose sum is σ = 117045937290240. Its totient is φ = 88964967168000.

The previous prime is 102121001101957. The next prime is 102121001102047. The reversal of 102121001101999 is 999101100121201.

It is not a de Polignac number, because 102121001101999 - 2¹⁵ = 102121001069231 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121001101919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101210109607 + ... + 101210110615.

It is an arithmetic number, because the mean of its divisors is an integer number (1219228513440).

Almost surely, 2^{102121001101999} is an apocalyptic number.

102121001101999 is a deficient number, since it is larger than the sum of its proper divisors (14924936188241).

102121001101999 is a wasteful number, since it uses less digits than its factorization.

102121001101999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 37.

The spelling of 102121001101999 in words is "one hundred two trillion, one hundred twenty-one billion, one million, one hundred one thousand, nine hundred ninety-nine".