2002000001121 has 6 divisors (see below), whose sum is σ = 2891777779410. Its totient is φ = 1334666667408.

The previous prime is 2002000001119. The next prime is 2002000001149. The reversal of 2002000001121 is 1211000002002.

It can be written as a sum of positive squares in only one way, i.e., 1053199325025 + 948800676096 = 1026255^2 + 974064^2 .

It is not a de Polignac number, because 2002000001121 - 2¹ = 2002000001119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 222444444569 = 2002000001121 / (2 + 0 + 0 + 2 + 0 + 0 + 0 + 0 + 0 + 1 + 1 + 2 + 1).

It is not an unprimeable number, because it can be changed into a prime (2002000021121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111222222276 + ... + 111222222293.

It is an arithmetic number, because the mean of its divisors is an integer number (481962963235).

Almost surely, 2^{2002000001121} is an apocalyptic number.

It is an amenable number.

2002000001121 is a deficient number, since it is larger than the sum of its proper divisors (889777778289).

2002000001121 is a wasteful number, since it uses less digits than its factorization.

2002000001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222444444575 (or 222444444572 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2002000001121 its reverse (1211000002002), we get a palindrome (3213000003123).

The spelling of 2002000001121 in words is "two trillion, two billion, one thousand, one hundred twenty-one".