100102101109 has 2 divisors, whose sum is σ = 100102101110. Its totient is φ = 100102101108.

The previous prime is 100102101097. The next prime is 100102101131. The reversal of 100102101109 is 901101201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68992902225 + 31109198884 = 262665^2 + 176378^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102101109 - 2⁹ = 100102100597 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100102101092 and 100102101101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100102101199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051050554 + 50051050555.

It is an arithmetic number, because the mean of its divisors is an integer number (50051050555).

Almost surely, 2^100102101109 is an apocalyptic number.

It is an amenable number.

100102101109 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102101109 is an equidigital number, since it uses as much as digits as its factorization.

100102101109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 100102101109 in words is "one hundred billion, one hundred two million, one hundred one thousand, one hundred nine".