100010002202001 has 12 divisors (see below), whose sum is σ = 145513336539012. Its totient is φ = 66186668123136.

The previous prime is 100010002201997. The next prime is 100010002202027. The reversal of 100010002202001 is 100202200010001.

It can be written as a sum of positive squares in 2 ways, for example, as 69790134694401 + 30219867507600 = 8354049^2 + 5497260^2 .

It is not a de Polignac number, because 100010002202001 - 2² = 100010002201997 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 (100010002202701) 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, 40555555216 + ... + 40555557681.

It is an arithmetic number, because the mean of its divisors is an integer number (12126111378251).

Almost surely, 2^{100010002202001} is an apocalyptic number.

It is an amenable number.

100010002202001 is a deficient number, since it is larger than the sum of its proper divisors (45503334337011).

100010002202001 is a wasteful number, since it uses less digits than its factorization.

100010002202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81111113040 (or 81111113037 counting only the distinct ones).

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

Adding to 100010002202001 its reverse (100202200010001), we get a palindrome (200212202212002).

The spelling of 100010002202001 in words is "one hundred trillion, ten billion, two million, two hundred two thousand, one".