101310222242211 has 16 divisors (see below), whose sum is σ = 135109781644800. Its totient is φ = 67525406167968.

The previous prime is 101310222242189. The next prime is 101310222242213. The reversal of 101310222242211 is 112242222013101.

It is not a de Polignac number, because 101310222242211 - 2¹⁴ = 101310222225827 is a prime.

It is a super-2 number, since 2×101310222242211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101310222242213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1250409660 + ... + 1250490678.

It is an arithmetic number, because the mean of its divisors is an integer number (8444361352800).

Almost surely, 2^{101310222242211} is an apocalyptic number.

101310222242211 is a deficient number, since it is larger than the sum of its proper divisors (33799559402589).

101310222242211 is an equidigital number, since it uses as much as digits as its factorization.

101310222242211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166858.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 101310222242211 its reverse (112242222013101), we get a palindrome (213552444255312).

The spelling of 101310222242211 in words is "one hundred one trillion, three hundred ten billion, two hundred twenty-two million, two hundred forty-two thousand, two hundred eleven".