10102101102089 has 2 divisors, whose sum is σ = 10102101102090. Its totient is φ = 10102101102088.

The previous prime is 10102101102059. The next prime is 10102101102109. The reversal of 10102101102089 is 98020110120101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6715794505225 + 3386306596864 = 2591485^2 + 1840192^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10102101102089 is a prime.

It is not a weakly prime, because it can be changed into another prime (10102101102029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051050551044 + 5051050551045.

It is an arithmetic number, because the mean of its divisors is an integer number (5051050551045).

Almost surely, 2^{10102101102089} is an apocalyptic number.

It is an amenable number.

10102101102089 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102101102089 is an equidigital number, since it uses as much as digits as its factorization.

10102101102089 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 10102101102089 in words is "ten trillion, one hundred two billion, one hundred one million, one hundred two thousand, eighty-nine".