100200020202167 has 2 divisors, whose sum is σ = 100200020202168. Its totient is φ = 100200020202166.

The previous prime is 100200020202097. The next prime is 100200020202203. The reversal of 100200020202167 is 761202020002001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100200020202167 - 2²⁴ = 100200003424951 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100200020202767) 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 as a sum of consecutive naturals, namely, 50100010101083 + 50100010101084.

It is an arithmetic number, because the mean of its divisors is an integer number (50100010101084).

Almost surely, 2^{100200020202167} is an apocalyptic number.

100200020202167 is a deficient number, since it is larger than the sum of its proper divisors (1).

100200020202167 is an equidigital number, since it uses as much as digits as its factorization.

100200020202167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 23.

Adding to 100200020202167 its reverse (761202020002001), we get a palindrome (861402040204168).

The spelling of 100200020202167 in words is "one hundred trillion, two hundred billion, twenty million, two hundred two thousand, one hundred sixty-seven".