10102122101121 has 4 divisors (see below), whose sum is σ = 13469496134832. Its totient is φ = 6734748067412.

The previous prime is 10102122101107. The next prime is 10102122101167. The reversal of 10102122101121 is 12110122120101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10102122101121 - 2¹³ = 10102122092929 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10102122101121.

It is not an unprimeable number, because it can be changed into a prime (10102122101191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1683687016851 + ... + 1683687016856.

It is an arithmetic number, because the mean of its divisors is an integer number (3367374033708).

Almost surely, 2^{10102122101121} is an apocalyptic number.

It is an amenable number.

10102122101121 is a deficient number, since it is larger than the sum of its proper divisors (3367374033711).

10102122101121 is an equidigital number, since it uses as much as digits as its factorization.

10102122101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367374033710.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10102122101121 its reverse (12110122120101), we get a palindrome (22212244221222).

The spelling of 10102122101121 in words is "ten trillion, one hundred two billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty-one".