10010002200101 has 8 divisors (see below), whose sum is σ = 10179712791360. Its totient is φ = 9840293260192.

The previous prime is 10010002200091. The next prime is 10010002200157. The reversal of 10010002200101 is 10100220001001.

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 10010002200101 - 2¹⁴ = 10010002183717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010002200181) 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, 22520456 + ... + 22960638.

It is an arithmetic number, because the mean of its divisors is an integer number (1272464098920).

Almost surely, 2^{10010002200101} is an apocalyptic number.

It is an amenable number.

10010002200101 is a deficient number, since it is larger than the sum of its proper divisors (169710591259).

10010002200101 is an equidigital number, since it uses as much as digits as its factorization.

10010002200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825675.

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

Adding to 10010002200101 its reverse (10100220001001), we get a palindrome (20110222201102).

The spelling of 10010002200101 in words is "ten trillion, ten billion, two million, two hundred thousand, one hundred one".