102120101121109 has 2 divisors, whose sum is σ = 102120101121110. Its totient is φ = 102120101121108.

The previous prime is 102120101120993. The next prime is 102120101121163. The reversal of 102120101121109 is 901121101021201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74789685498609 + 27330415622500 = 8648103^2 + 5227850^2 .

It is a cyclic number.

It is not a de Polignac number, because 102120101121109 - 2¹³ = 102120101112917 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102120101121109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102120101121209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51060050560554 + 51060050560555.

It is an arithmetic number, because the mean of its divisors is an integer number (51060050560555).

Almost surely, 2^{102120101121109} is an apocalyptic number.

It is an amenable number.

102120101121109 is a deficient number, since it is larger than the sum of its proper divisors (1).

102120101121109 is an equidigital number, since it uses as much as digits as its factorization.

102120101121109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 102120101121109 in words is "one hundred two trillion, one hundred twenty billion, one hundred one million, one hundred twenty-one thousand, one hundred nine".