2100201100997 has 2 divisors, whose sum is σ = 2100201100998. Its totient is φ = 2100201100996.

The previous prime is 2100201100973. The next prime is 2100201101041. The reversal of 2100201100997 is 7990011020012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1540264673476 + 559936427521 = 1241074^2 + 748289^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100201100997 - 2¹⁰ = 2100201099973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100201100097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050100550498 + 1050100550499.

It is an arithmetic number, because the mean of its divisors is an integer number (1050100550499).

Almost surely, 2^{2100201100997} is an apocalyptic number.

It is an amenable number.

2100201100997 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100201100997 is an equidigital number, since it uses as much as digits as its factorization.

2100201100997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 32.

The spelling of 2100201100997 in words is "two trillion, one hundred billion, two hundred one million, one hundred thousand, nine hundred ninety-seven".