102120101021189 has 2 divisors, whose sum is σ = 102120101021190. Its totient is φ = 102120101021188.

The previous prime is 102120101021177. The next prime is 102120101021207. The reversal of 102120101021189 is 981120101021201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93372602702500 + 8747498318689 = 9662950^2 + 2957617^2 .

It is an emirp because it is prime and its reverse (981120101021201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102120101021189 - 2⁸ = 102120101020933 is a prime.

It is a super-3 number, since 3×102120101021189³ (a number of 43 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102120101021149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51060050510594 + 51060050510595.

It is an arithmetic number, because the mean of its divisors is an integer number (51060050510595).

Almost surely, 2^{102120101021189} is an apocalyptic number.

It is an amenable number.

102120101021189 is a deficient number, since it is larger than the sum of its proper divisors (1).

102120101021189 is an equidigital number, since it uses as much as digits as its factorization.

102120101021189 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 29.

The spelling of 102120101021189 in words is "one hundred two trillion, one hundred twenty billion, one hundred one million, twenty-one thousand, one hundred eighty-nine".