102010012101997 has 2 divisors, whose sum is σ = 102010012101998. Its totient is φ = 102010012101996.

The previous prime is 102010012101967. The next prime is 102010012102007. The reversal of 102010012101997 is 799101210010201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59019054652996 + 42990957449001 = 7682386^2 + 6556749^2 .

It is a cyclic number.

It is not a de Polignac number, because 102010012101997 - 2²⁷ = 102009877884269 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102010012101947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51005006050998 + 51005006050999.

It is an arithmetic number, because the mean of its divisors is an integer number (51005006050999).

Almost surely, 2^{102010012101997} is an apocalyptic number.

It is an amenable number.

102010012101997 is a deficient number, since it is larger than the sum of its proper divisors (1).

102010012101997 is an equidigital number, since it uses as much as digits as its factorization.

102010012101997 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 102010012101997 in words is "one hundred two trillion, ten billion, twelve million, one hundred one thousand, nine hundred ninety-seven".