101000022222131 has 2 divisors, whose sum is σ = 101000022222132. Its totient is φ = 101000022222130.

The previous prime is 101000022222059. The next prime is 101000022222133. The reversal of 101000022222131 is 131222220000101.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101000022222131 is a prime.

It is a super-2 number, since 2×101000022222131² (a number of 29 digits) contains 22 as substring.

Together with 101000022222133, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101000022222133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500011111065 + 50500011111066.

It is an arithmetic number, because the mean of its divisors is an integer number (50500011111066).

Almost surely, 2^{101000022222131} is an apocalyptic number.

101000022222131 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000022222131 is an equidigital number, since it uses as much as digits as its factorization.

101000022222131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 101000022222131 its reverse (131222220000101), we get a palindrome (232222242222232).

The spelling of 101000022222131 in words is "one hundred one trillion, twenty-two million, two hundred twenty-two thousand, one hundred thirty-one".