10101002121167 has 2 divisors, whose sum is σ = 10101002121168. Its totient is φ = 10101002121166.

The previous prime is 10101002121149. The next prime is 10101002121241. The reversal of 10101002121167 is 76112120010101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10101002121167 - 2³⁴ = 10083822251983 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101002121467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050501060583 + 5050501060584.

It is an arithmetic number, because the mean of its divisors is an integer number (5050501060584).

Almost surely, 2^{10101002121167} is an apocalyptic number.

10101002121167 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101002121167 is an equidigital number, since it uses as much as digits as its factorization.

10101002121167 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 23.

Adding to 10101002121167 its reverse (76112120010101), we get a palindrome (86213122131268).

The spelling of 10101002121167 in words is "ten trillion, one hundred one billion, two million, one hundred twenty-one thousand, one hundred sixty-seven".