10131222213101 has 8 divisors (see below), whose sum is σ = 11052515064000. Its totient is φ = 9209974803840.

The previous prime is 10131222213089. The next prime is 10131222213113.

10131222213101 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (10131222213089) and next prime (10131222213113).

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 10131222213101 - 2⁶ = 10131222213037 is a prime.

It is a super-2 number, since 2×10131222213101² (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 (10131222213191) 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, 10893401 + ... + 11786798.

It is an arithmetic number, because the mean of its divisors is an integer number (1381564383000).

Almost surely, 2^{10131222213101} is an apocalyptic number.

10131222213101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10131222213101 is a deficient number, since it is larger than the sum of its proper divisors (921292850899).

10131222213101 is a wasteful number, since it uses less digits than its factorization.

10131222213101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22720819.

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 1013122 and 2213101, that added together give a palindrome (3226223).

The spelling of 10131222213101 in words is "ten trillion, one hundred thirty-one billion, two hundred twenty-two million, two hundred thirteen thousand, one hundred one".