101331201988241 has 2 divisors, whose sum is σ = 101331201988242. Its totient is φ = 101331201988240.

The previous prime is 101331201988207. The next prime is 101331201988271. The reversal of 101331201988241 is 142889102133101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87813373232641 + 13517828755600 = 9370879^2 + 3676660^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101331201988241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101331201988192 and 101331201988201.

It is not a weakly prime, because it can be changed into another prime (101331201988201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50665600994120 + 50665600994121.

It is an arithmetic number, because the mean of its divisors is an integer number (50665600994121).

Almost surely, 2^{101331201988241} is an apocalyptic number.

It is an amenable number.

101331201988241 is a deficient number, since it is larger than the sum of its proper divisors (1).

101331201988241 is an equidigital number, since it uses as much as digits as its factorization.

101331201988241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 82944, while the sum is 44.

The spelling of 101331201988241 in words is "one hundred one trillion, three hundred thirty-one billion, two hundred one million, nine hundred eighty-eight thousand, two hundred forty-one".