10121112222191 has 2 divisors, whose sum is σ = 10121112222192. Its totient is φ = 10121112222190.

The previous prime is 10121112222113. The next prime is 10121112222197. The reversal of 10121112222191 is 19122221112101.

10121112222191 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10121112222191 - 2³⁰ = 10120038480367 is a prime.

It is a super-2 number, since 2×10121112222191² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10121112222191.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121112222197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060556111095 + 5060556111096.

It is an arithmetic number, because the mean of its divisors is an integer number (5060556111096).

Almost surely, 2^{10121112222191} is an apocalyptic number.

10121112222191 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121112222191 is an equidigital number, since it uses as much as digits as its factorization.

10121112222191 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 26.

Adding to 10121112222191 its reverse (19122221112101), we get a palindrome (29243333334292).

The spelling of 10121112222191 in words is "ten trillion, one hundred twenty-one billion, one hundred twelve million, two hundred twenty-two thousand, one hundred ninety-one".