1002000111201 has 6 divisors (see below), whose sum is σ = 1447333493970. Its totient is φ = 668000074128.

The previous prime is 1002000111197. The next prime is 1002000111209. The reversal of 1002000111201 is 1021110002001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 801426010176 + 200574101025 = 895224^2 + 447855^2 .

It is not a de Polignac number, because 1002000111201 - 2² = 1002000111197 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: 111333345689 = 1002000111201 / (1 + 0 + 0 + 2 + 0 + 0 + 0 + 1 + 1 + 1 + 2 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (1002000111209) 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, 55666672836 + ... + 55666672853.

It is an arithmetic number, because the mean of its divisors is an integer number (241222248995).

Almost surely, 2^{1002000111201} is an apocalyptic number.

It is an amenable number.

1002000111201 is a deficient number, since it is larger than the sum of its proper divisors (445333382769).

1002000111201 is a wasteful number, since it uses less digits than its factorization.

1002000111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111333345695 (or 111333345692 counting only the distinct ones).

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

Adding to 1002000111201 its reverse (1021110002001), we get a palindrome (2023110113202).

The spelling of 1002000111201 in words is "one trillion, two billion, one hundred eleven thousand, two hundred one".