1000100122201 has 8 divisors (see below), whose sum is σ = 1058947446600. Its totient is φ = 941254787328.

The previous prime is 1000100122171. The next prime is 1000100122237. The reversal of 1000100122201 is 1022210010001.

It can be written as a sum of positive squares in 4 ways, for example, as 48763238976 + 951336883225 = 220824^2 + 975365^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000100122201 - 2⁹ = 1000100121689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000100122001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 607735 + ... + 1539331.

It is an arithmetic number, because the mean of its divisors is an integer number (132368430825).

Almost surely, 2^{1000100122201} is an apocalyptic number.

It is an amenable number.

1000100122201 is a deficient number, since it is larger than the sum of its proper divisors (58847324399).

1000100122201 is an equidigital number, since it uses as much as digits as its factorization.

1000100122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994763.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1000100122201 its reverse (1022210010001), we get a palindrome (2022310132202).

The spelling of 1000100122201 in words is "one trillion, one hundred million, one hundred twenty-two thousand, two hundred one".