100101022001 has 4 divisors (see below), whose sum is σ = 100217826852. Its totient is φ = 99984217152.

The previous prime is 100101021961. The next prime is 100101022019. The reversal of 100101022001 is 100220101001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 63189390625 + 36911631376 = 251375^2 + 192124^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101022001 - 2²⁶ = 100033913137 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100101022001.

It is not an unprimeable number, because it can be changed into a prime (100101022031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58401140 + ... + 58402853.

It is an arithmetic number, because the mean of its divisors is an integer number (25054456713).

Almost surely, 2^100101022001 is an apocalyptic number.

It is an amenable number.

100101022001 is a deficient number, since it is larger than the sum of its proper divisors (116804851).

100101022001 is an equidigital number, since it uses as much as digits as its factorization.

100101022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116804850.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100101022001 its reverse (100220101001), we get a palindrome (200321123002).

The spelling of 100101022001 in words is "one hundred billion, one hundred one million, twenty-two thousand, one".