101021210101997 has 2 divisors, whose sum is σ = 101021210101998. Its totient is φ = 101021210101996.

The previous prime is 101021210101949. The next prime is 101021210102053. The reversal of 101021210101997 is 799101012120101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56662066911241 + 44359143190756 = 7527421^2 + 6660266^2 .

It is an emirp because it is prime and its reverse (799101012120101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101021210101997 - 2¹⁸ = 101021209839853 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101021210100997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510605050998 + 50510605050999.

It is an arithmetic number, because the mean of its divisors is an integer number (50510605050999).

Almost surely, 2^{101021210101997} is an apocalyptic number.

It is an amenable number.

101021210101997 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021210101997 is an equidigital number, since it uses as much as digits as its factorization.

101021210101997 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 35.

The spelling of 101021210101997 in words is "one hundred one trillion, twenty-one billion, two hundred ten million, one hundred one thousand, nine hundred ninety-seven".