10130222203101 has 192 divisors, whose sum is σ = 20187279490560. Its totient is φ = 4724065566720.

The previous prime is 10130222203069. The next prime is 10130222203147.

10130222203101 is a `hidden beast` number, since 1 + 0 + 130 + 2 + 2 + 220 + 310 + 1 = 666.

10130222203101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10130222203101 - 2⁵ = 10130222203069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130222203181) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 824326365 + ... + 824338653.

It is an arithmetic number, because the mean of its divisors is an integer number (105142080680).

Almost surely, 2^{10130222203101} is an apocalyptic number.

10130222203101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10130222203101 is a deficient number, since it is larger than the sum of its proper divisors (10057057287459).

10130222203101 is a wasteful number, since it uses less digits than its factorization.

10130222203101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14836 (or 14833 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 1013022 and 2203101, that added together give a palindrome (3216123).

The spelling of 10130222203101 in words is "ten trillion, one hundred thirty billion, two hundred twenty-two million, two hundred three thousand, one hundred one".