10001020002201 has 6 divisors (see below), whose sum is σ = 14445917780970. Its totient is φ = 6667346668128.

The previous prime is 10001020002173. The next prime is 10001020002251. The reversal of 10001020002201 is 10220002010001.

It can be written as a sum of positive squares in only one way, i.e., 9998718305625 + 2301696576 = 3162075^2 + 47976^2 .

It is not a de Polignac number, because 10001020002201 - 2¹⁵ = 10001019969433 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: 1111224444689 = 10001020002201 / (1 + 0 + 0 + 0 + 1 + 0 + 2 + 0 + 0 + 0 + 2 + 2 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (10001020002251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555612222336 + ... + 555612222353.

It is an arithmetic number, because the mean of its divisors is an integer number (2407652963495).

Almost surely, 2^{10001020002201} is an apocalyptic number.

It is an amenable number.

10001020002201 is a deficient number, since it is larger than the sum of its proper divisors (4444897778769).

10001020002201 is a wasteful number, since it uses less digits than its factorization.

10001020002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111224444695 (or 1111224444692 counting only the distinct ones).

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

Adding to 10001020002201 its reverse (10220002010001), we get a palindrome (20221022012202).

The spelling of 10001020002201 in words is "ten trillion, one billion, twenty million, two thousand, two hundred one".