2100101009 has 2 divisors, whose sum is σ = 2100101010. Its totient is φ = 2100101008.

The previous prime is 2100100993. The next prime is 2100101021. The reversal of 2100101009 is 9001010012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1432395409 + 667705600 = 37847^2 + 25840^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100101009 - 2⁴ = 2100100993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100100984 and 2100101002.

It is not a weakly prime, because it can be changed into another prime (2100101039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050050504 + 1050050505.

It is an arithmetic number, because the mean of its divisors is an integer number (1050050505).

Almost surely, 2^2100101009 is an apocalyptic number.

It is an amenable number.

2100101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100101009 is an equidigital number, since it uses as much as digits as its factorization.

2100101009 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 14.

The square root of 2100101009 is about 45826.8590348499. The cubic root of 2100101009 is about 1280.5996964077.

The spelling of 2100101009 in words is "two billion, one hundred million, one hundred one thousand, nine".