10201002002201 has 8 divisors (see below), whose sum is σ = 10228479054024. Its totient is φ = 10173525638400.

The previous prime is 10201002002171. The next prime is 10201002002231. The reversal of 10201002002201 is 10220020010201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10201002002171) and next prime (10201002002231).

It can be written as a sum of positive squares in 4 ways, for example, as 2511667110976 + 7689334891225 = 1584824^2 + 2772965^2 .

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 10201002002201 - 2⁶ = 10201002002137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10201002002231) 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, 46590755 + ... + 46809191.

It is an arithmetic number, because the mean of its divisors is an integer number (1278559881753).

Almost surely, 2^{10201002002201} is an apocalyptic number.

It is an amenable number.

10201002002201 is a deficient number, since it is larger than the sum of its proper divisors (27477051823).

10201002002201 is a wasteful number, since it uses less digits than its factorization.

10201002002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344011.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10201002002201 its reverse (10220020010201), we get a palindrome (20421022012402).

The spelling of 10201002002201 in words is "ten trillion, two hundred one billion, two million, two thousand, two hundred one".