101010001201997 has 2 divisors, whose sum is σ = 101010001201998. Its totient is φ = 101010001201996.

The previous prime is 101010001201933. The next prime is 101010001202029. The reversal of 101010001201997 is 799102100010101.

It is an a-pointer prime, because the next prime (101010001202029) can be obtained adding 101010001201997 to its sum of digits (32).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59688387382276 + 41321613819721 = 7725826^2 + 6428189^2 .

It is an emirp because it is prime and its reverse (799102100010101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101010001201997 - 2⁶ = 101010001201933 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101010001201597) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505000600998 + 50505000600999.

It is an arithmetic number, because the mean of its divisors is an integer number (50505000600999).

Almost surely, 2^{101010001201997} is an apocalyptic number.

It is an amenable number.

101010001201997 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010001201997 is an equidigital number, since it uses as much as digits as its factorization.

101010001201997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1134, while the sum is 32.

The spelling of 101010001201997 in words is "one hundred one trillion, ten billion, one million, two hundred one thousand, nine hundred ninety-seven".