102112101089 has 2 divisors, whose sum is σ = 102112101090. Its totient is φ = 102112101088.

The previous prime is 102112101067. The next prime is 102112101121. The reversal of 102112101089 is 980101211201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102093030400 + 19070689 = 319520^2 + 4367^2 .

It is a cyclic number.

It is not a de Polignac number, because 102112101089 - 2²⁰ = 102111052513 is a prime.

It is not a weakly prime, because it can be changed into another prime (102112101059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056050544 + 51056050545.

It is an arithmetic number, because the mean of its divisors is an integer number (51056050545).

Almost surely, 2^102112101089 is an apocalyptic number.

It is an amenable number.

102112101089 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112101089 is an equidigital number, since it uses as much as digits as its factorization.

102112101089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 26.

The spelling of 102112101089 in words is "one hundred two billion, one hundred twelve million, one hundred one thousand, eighty-nine".