2120002200121 has 64 divisors (see below), whose sum is σ = 2394329414400. Its totient is φ = 1864615624704.

The previous prime is 2120002200091. The next prime is 2120002200133. The reversal of 2120002200121 is 1210022000212.

It is a happy number.

It is a 9-Lehmer number, since φ(2120002200121) divides (2120002200121-1)⁹.

It is a cyclic number.

It is not a de Polignac number, because 2120002200121 - 2¹⁹ = 2120001675833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2120002200181) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1122287145 + ... + 1122289033.

It is an arithmetic number, because the mean of its divisors is an integer number (37411397100).

Almost surely, 2^{2120002200121} is an apocalyptic number.

It is an amenable number.

2120002200121 is a deficient number, since it is larger than the sum of its proper divisors (274327214279).

2120002200121 is a wasteful number, since it uses less digits than its factorization.

2120002200121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2120002200121 its reverse (1210022000212), we get a palindrome (3330024200333).

The spelling of 2120002200121 in words is "two trillion, one hundred twenty billion, two million, two hundred thousand, one hundred twenty-one".