101112022020167 has 2 divisors, whose sum is σ = 101112022020168. Its totient is φ = 101112022020166.

The previous prime is 101112022020109. The next prime is 101112022020211. The reversal of 101112022020167 is 761020220211101.

It is a strong prime.

It is an emirp because it is prime and its reverse (761020220211101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101112022020167 - 2¹⁶ = 101112021954631 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101112022020767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556011010083 + 50556011010084.

It is an arithmetic number, because the mean of its divisors is an integer number (50556011010084).

Almost surely, 2^{101112022020167} is an apocalyptic number.

101112022020167 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112022020167 is an equidigital number, since it uses as much as digits as its factorization.

101112022020167 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 672, while the sum is 26.

Adding to 101112022020167 its reverse (761020220211101), we get a palindrome (862132242231268).

The spelling of 101112022020167 in words is "one hundred one trillion, one hundred twelve billion, twenty-two million, twenty thousand, one hundred sixty-seven".