10122110110191 has 16 divisors (see below), whose sum is σ = 13529171577600. Its totient is φ = 6731581203648.

The previous prime is 10122110110171. The next prime is 10122110110193. The reversal of 10122110110191 is 19101101122101.

It is a happy number.

It is not a de Polignac number, because 10122110110191 - 2¹⁵ = 10122110077423 is a prime.

It is a super-2 number, since 2×10122110110191² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122110110193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514411 + ... + 4528668.

It is an arithmetic number, because the mean of its divisors is an integer number (845573223600).

Almost surely, 2^{10122110110191} is an apocalyptic number.

10122110110191 is a deficient number, since it is larger than the sum of its proper divisors (3407061467409).

10122110110191 is an equidigital number, since it uses as much as digits as its factorization.

10122110110191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5044718.

The product of its (nonzero) digits is 36, while the sum is 21.

Adding to 10122110110191 its reverse (19101101122101), we get a palindrome (29223211232292).

The spelling of 10122110110191 in words is "ten trillion, one hundred twenty-two billion, one hundred ten million, one hundred ten thousand, one hundred ninety-one".