10021120121167 has 2 divisors, whose sum is σ = 10021120121168. Its totient is φ = 10021120121166.

The previous prime is 10021120121153. The next prime is 10021120121377. The reversal of 10021120121167 is 76112102112001.

It is a happy number.

10021120121167 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is an emirp because it is prime and its reverse (76112102112001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10021120121167 is a prime.

It is a super-2 number, since 2×10021120121167² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10021120125167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010560060583 + 5010560060584.

It is an arithmetic number, because the mean of its divisors is an integer number (5010560060584).

Almost surely, 2^{10021120121167} is an apocalyptic number.

10021120121167 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021120121167 is an equidigital number, since it uses as much as digits as its factorization.

10021120121167 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 25.

Adding to 10021120121167 its reverse (76112102112001), we get a palindrome (86133222233168).

The spelling of 10021120121167 in words is "ten trillion, twenty-one billion, one hundred twenty million, one hundred twenty-one thousand, one hundred sixty-seven".