2000001011121 has 32 divisors (see below), whose sum is σ = 2988014346240. Its totient is φ = 1322078144400.

The previous prime is 2000001011093. The next prime is 2000001011131. The reversal of 2000001011121 is 1211101000002.

It is a happy number.

It is not a de Polignac number, because 2000001011121 - 2⁵ = 2000001011089 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 (2000001011131) 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, 4124376 + ... + 4583718.

It is an arithmetic number, because the mean of its divisors is an integer number (93375448320).

Almost surely, 2^{2000001011121} is an apocalyptic number.

It is an amenable number.

2000001011121 is a deficient number, since it is larger than the sum of its proper divisors (988013335119).

2000001011121 is a wasteful number, since it uses less digits than its factorization.

2000001011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460714 (or 460708 counting only the distinct ones).

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

Adding to 2000001011121 its reverse (1211101000002), we get a palindrome (3211102011123).

It can be divided in two parts, 200000 and 1011121, that added together give a palindrome (1211121).

The spelling of 2000001011121 in words is "two trillion, one million, eleven thousand, one hundred twenty-one".