2100121101997 has 2 divisors, whose sum is σ = 2100121101998. Its totient is φ = 2100121101996.

The previous prime is 2100121101917. The next prime is 2100121102099. The reversal of 2100121101997 is 7991011210012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1782708302761 + 317412799236 = 1335181^2 + 563394^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100121101997 - 2¹⁵ = 2100121069229 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100121101917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050060550998 + 1050060550999.

It is an arithmetic number, because the mean of its divisors is an integer number (1050060550999).

Almost surely, 2^{2100121101997} is an apocalyptic number.

It is an amenable number.

2100121101997 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100121101997 is an equidigital number, since it uses as much as digits as its factorization.

2100121101997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 34.

The spelling of 2100121101997 in words is "two trillion, one hundred billion, one hundred twenty-one million, one hundred one thousand, nine hundred ninety-seven".