2121011000001 has 16 divisors (see below), whose sum is σ = 3144527166720. Its totient is φ = 1412977441680.

The previous prime is 2121010999981. The next prime is 2121011000027. The reversal of 2121011000001 is 1000001101212.

It is a happy number.

It is not a de Polignac number, because 2121011000001 - 2¹⁹ = 2121010475713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2121011000071) 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, 28570345 + ... + 28644486.

It is an arithmetic number, because the mean of its divisors is an integer number (196532947920).

Almost surely, 2^{2121011000001} is an apocalyptic number.

It is an amenable number.

2121011000001 is a deficient number, since it is larger than the sum of its proper divisors (1023516166719).

2121011000001 is a wasteful number, since it uses less digits than its factorization.

2121011000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57216213 (or 57216207 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2121011000001 its reverse (1000001101212), we get a palindrome (3121012101213).

The spelling of 2121011000001 in words is "two trillion, one hundred twenty-one billion, eleven million, one", and thus it is an aban number.