10102101102109 has 2 divisors, whose sum is σ = 10102101102110. Its totient is φ = 10102101102108.

The previous prime is 10102101102089. The next prime is 10102101102187. The reversal of 10102101102109 is 90120110120101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8344859230009 + 1757241872100 = 2888747^2 + 1325610^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102101102109 - 2¹¹ = 10102101100061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102101102199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051050551054 + 5051050551055.

It is an arithmetic number, because the mean of its divisors is an integer number (5051050551055).

Almost surely, 2^{10102101102109} is an apocalyptic number.

It is an amenable number.

10102101102109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102101102109 is an equidigital number, since it uses as much as digits as its factorization.

10102101102109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 10102101102109 in words is "ten trillion, one hundred two billion, one hundred one million, one hundred two thousand, one hundred nine".