10001222102101 has 4 divisors (see below), whose sum is σ = 10001244604204. Its totient is φ = 10001199600000.

The previous prime is 10001222102057. The next prime is 10001222102149. The reversal of 10001222102101 is 10120122210001.

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 9203548050225 + 797674051876 = 3033735^2 + 893126^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001222102101 - 2¹⁷ = 10001221971029 is a prime.

It is a super-2 number, since 2×10001222102101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001222102161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10570650 + ... + 11477851.

It is an arithmetic number, because the mean of its divisors is an integer number (2500311151051).

Almost surely, 2^{10001222102101} is an apocalyptic number.

It is an amenable number.

10001222102101 is a deficient number, since it is larger than the sum of its proper divisors (22502103).

10001222102101 is an equidigital number, since it uses as much as digits as its factorization.

10001222102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22502102.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10001222102101 its reverse (10120122210001), we get a palindrome (20121344312102).

The spelling of 10001222102101 in words is "ten trillion, one billion, two hundred twenty-two million, one hundred two thousand, one hundred one".