121001100000999 has 32 divisors (see below), whose sum is σ = 175789354721280. Its totient is φ = 73770811938432.

The previous prime is 121001100000929. The next prime is 121001100001003. The reversal of 121001100000999 is 999000001100121.

It is not a de Polignac number, because 121001100000999 - 2²⁹ = 121000563130087 is a prime.

It is a super-3 number, since 3×121001100000999³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121001100000929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225612804 + ... + 226148489.

It is an arithmetic number, because the mean of its divisors is an integer number (5493417335040).

Almost surely, 2^{121001100000999} is an apocalyptic number.

121001100000999 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

121001100000999 is a deficient number, since it is larger than the sum of its proper divisors (54788254720281).

121001100000999 is a wasteful number, since it uses less digits than its factorization.

121001100000999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451761479.

The product of its (nonzero) digits is 1458, while the sum is 33.

The spelling of 121001100000999 in words is "one hundred twenty-one trillion, one billion, one hundred million, nine hundred ninety-nine", and thus it is an aban number.