100120021011167 has 2 divisors, whose sum is σ = 100120021011168. Its totient is φ = 100120021011166.

The previous prime is 100120021011091. The next prime is 100120021011217. The reversal of 100120021011167 is 761110120021001.

It is a strong prime.

It is an emirp because it is prime and its reverse (761110120021001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100120021011167 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100120024011167) 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, 50060010505583 + 50060010505584.

It is an arithmetic number, because the mean of its divisors is an integer number (50060010505584).

Almost surely, 2^{100120021011167} is an apocalyptic number.

100120021011167 is a deficient number, since it is larger than the sum of its proper divisors (1).

100120021011167 is an equidigital number, since it uses as much as digits as its factorization.

100120021011167 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100120021011167 its reverse (761110120021001), we get a palindrome (861230141032168).

The spelling of 100120021011167 in words is "one hundred trillion, one hundred twenty billion, twenty-one million, eleven thousand, one hundred sixty-seven".