100102000202167 has 2 divisors, whose sum is σ = 100102000202168. Its totient is φ = 100102000202166.

The previous prime is 100102000202129. The next prime is 100102000202221. The reversal of 100102000202167 is 761202000201001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100102000202167 - 2¹⁵ = 100102000169399 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100102000202107) 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, 50051000101083 + 50051000101084.

It is an arithmetic number, because the mean of its divisors is an integer number (50051000101084).

Almost surely, 2^{100102000202167} is an apocalyptic number.

100102000202167 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102000202167 is an equidigital number, since it uses as much as digits as its factorization.

100102000202167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 100102000202167 its reverse (761202000201001), we get a palindrome (861304000403168).

The spelling of 100102000202167 in words is "one hundred trillion, one hundred two billion, two hundred two thousand, one hundred sixty-seven".