102111100120121 has 2 divisors, whose sum is σ = 102111100120122. Its totient is φ = 102111100120120.

The previous prime is 102111100120109. The next prime is 102111100120223. The reversal of 102111100120121 is 121021001111201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72586395655225 + 29524704464896 = 8519765^2 + 5433664^2 .

It is a cyclic number.

It is not a de Polignac number, because 102111100120121 - 2²⁶ = 102111033011257 is a prime.

It is a super-3 number, since 3×102111100120121³ (a number of 43 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102111100120096 and 102111100120105.

It is not a weakly prime, because it can be changed into another prime (102111100123121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51055550060060 + 51055550060061.

It is an arithmetic number, because the mean of its divisors is an integer number (51055550060061).

Almost surely, 2^{102111100120121} is an apocalyptic number.

It is an amenable number.

102111100120121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102111100120121 is an equidigital number, since it uses as much as digits as its factorization.

102111100120121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102111100120121 its reverse (121021001111201), we get a palindrome (223132101231322).

The spelling of 102111100120121 in words is "one hundred two trillion, one hundred eleven billion, one hundred million, one hundred twenty thousand, one hundred twenty-one".