2100100102097 has 2 divisors, whose sum is σ = 2100100102098. Its totient is φ = 2100100102096.

The previous prime is 2100100102063. The next prime is 2100100102109. The reversal of 2100100102097 is 7902010010012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1684157658001 + 415942444096 = 1297751^2 + 644936^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100100102097 - 2¹² = 2100100098001 is a prime.

It is not a weakly prime, because it can be changed into another prime (2100100102007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050050051048 + 1050050051049.

It is an arithmetic number, because the mean of its divisors is an integer number (1050050051049).

Almost surely, 2^{2100100102097} is an apocalyptic number.

It is an amenable number.

2100100102097 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100100102097 is an equidigital number, since it uses as much as digits as its factorization.

2100100102097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 23.

The spelling of 2100100102097 in words is "two trillion, one hundred billion, one hundred million, one hundred two thousand, ninety-seven".