2000100012201 has 12 divisors (see below), whose sum is σ = 2897606154612. Its totient is φ = 1329443329536.

The previous prime is 2000100012199. The next prime is 2000100012203. The reversal of 2000100012201 is 1022100010002.

It is an interprime number because it is at equal distance from previous prime (2000100012199) and next prime (2000100012203).

It can be written as a sum of positive squares in 2 ways, for example, as 1387269374976 + 612830637225 = 1177824^2 + 782835^2 .

It is not a de Polignac number, because 2000100012201 - 2¹ = 2000100012199 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 (2000100012203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 329720016 + ... + 329726081.

It is an arithmetic number, because the mean of its divisors is an integer number (241467179551).

Almost surely, 2^{2000100012201} is an apocalyptic number.

It is an amenable number.

2000100012201 is a deficient number, since it is larger than the sum of its proper divisors (897506142411).

2000100012201 is a wasteful number, since it uses less digits than its factorization.

2000100012201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659446440 (or 659446437 counting only the distinct ones).

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

Adding to 2000100012201 its reverse (1022100010002), we get a palindrome (3022200022203).

The spelling of 2000100012201 in words is "two trillion, one hundred million, twelve thousand, two hundred one".