102100102021189 has 2 divisors, whose sum is σ = 102100102021190. Its totient is φ = 102100102021188.

The previous prime is 102100102021171. The next prime is 102100102021199. The reversal of 102100102021189 is 981120201001201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89715790872964 + 12384311148225 = 9471842^2 + 3519135^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100102021189 - 2⁹ = 102100102020677 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102100102021139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050051010594 + 51050051010595.

It is an arithmetic number, because the mean of its divisors is an integer number (51050051010595).

Almost surely, 2^{102100102021189} is an apocalyptic number.

It is an amenable number.

102100102021189 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100102021189 is an equidigital number, since it uses as much as digits as its factorization.

102100102021189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 28.

The spelling of 102100102021189 in words is "one hundred two trillion, one hundred billion, one hundred two million, twenty-one thousand, one hundred eighty-nine".