101012120301997 has 2 divisors, whose sum is σ = 101012120301998. Its totient is φ = 101012120301996.

The previous prime is 101012120301991. The next prime is 101012120302007. The reversal of 101012120301997 is 799103021210101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53852393419561 + 47159726882436 = 7338419^2 + 6867294^2 .

It is an emirp because it is prime and its reverse (799103021210101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101012120301997 - 2²³ = 101012111913389 is a prime.

It is a super-2 number, since 2×101012120301997² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101012120301991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506060150998 + 50506060150999.

It is an arithmetic number, because the mean of its divisors is an integer number (50506060150999).

Almost surely, 2^{101012120301997} is an apocalyptic number.

It is an amenable number.

101012120301997 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012120301997 is an equidigital number, since it uses as much as digits as its factorization.

101012120301997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 37.

The spelling of 101012120301997 in words is "one hundred one trillion, twelve billion, one hundred twenty million, three hundred one thousand, nine hundred ninety-seven".