2100100097 has 2 divisors, whose sum is σ = 2100100098. Its totient is φ = 2100100096.

The previous prime is 2100100081. The next prime is 2100100109. The reversal of 2100100097 is 7900010012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2099838976 + 261121 = 45824^2 + 511^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100100097 - 2⁴ = 2100100081 is a prime.

It is not a weakly prime, because it can be changed into another prime (2100100397) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050050048 + 1050050049.

It is an arithmetic number, because the mean of its divisors is an integer number (1050050049).

Almost surely, 2^2100100097 is an apocalyptic number.

It is an amenable number.

2100100097 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100100097 is an equidigital number, since it uses as much as digits as its factorization.

2100100097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 2100100097 is about 45826.8490843523. The cubic root of 2100100097 is about 1280.5995110345.

The spelling of 2100100097 in words is "two billion, one hundred million, one hundred thousand, ninety-seven".