1010121000999 has 16 divisors (see below), whose sum is σ = 1484413996800. Its totient is φ = 605883260160.

The previous prime is 1010121000961. The next prime is 1010121001027. The reversal of 1010121000999 is 9990001210101.

It is not a de Polignac number, because 1010121000999 - 2¹¹ = 1010120998951 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010121000599) 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 15 ways as a sum of consecutive naturals, for example, 157778899 + ... + 157785300.

It is an arithmetic number, because the mean of its divisors is an integer number (92775874800).

Almost surely, 2^{1010121000999} is an apocalyptic number.

1010121000999 is a deficient number, since it is larger than the sum of its proper divisors (474292995801).

1010121000999 is a wasteful number, since it uses less digits than its factorization.

1010121000999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315564310.

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

It can be divided in two parts, 101012 and 1000999, that added together give a palindrome (1102011).

The spelling of 1010121000999 in words is "one trillion, ten billion, one hundred twenty-one million, nine hundred ninety-nine", and thus it is an aban number.