102101121210997 has 2 divisors, whose sum is σ = 102101121210998. Its totient is φ = 102101121210996.

The previous prime is 102101121210967. The next prime is 102101121211007. The reversal of 102101121210997 is 799012121101201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75156311687076 + 26944809523921 = 8669274^2 + 5190839^2 .

It is a cyclic number.

It is not a de Polignac number, because 102101121210997 - 2¹⁹ = 102101120686709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102101121210967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050560605498 + 51050560605499.

It is an arithmetic number, because the mean of its divisors is an integer number (51050560605499).

Almost surely, 2^{102101121210997} is an apocalyptic number.

It is an amenable number.

102101121210997 is a deficient number, since it is larger than the sum of its proper divisors (1).

102101121210997 is an equidigital number, since it uses as much as digits as its factorization.

102101121210997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 37.

The spelling of 102101121210997 in words is "one hundred two trillion, one hundred one billion, one hundred twenty-one million, two hundred ten thousand, nine hundred ninety-seven".