101201001000941 has 2 divisors, whose sum is σ = 101201001000942. Its totient is φ = 101201001000940.

The previous prime is 101201001000919. The next prime is 101201001000989. The reversal of 101201001000941 is 149000100102101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62664480888100 + 38536520112841 = 7916090^2 + 6207779^2 .

It is a cyclic number.

It is not a de Polignac number, because 101201001000941 - 2³⁰ = 101199927259117 is a prime.

It is a super-2 number, since 2×101201001000941² (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 (101201001000041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600500500470 + 50600500500471.

It is an arithmetic number, because the mean of its divisors is an integer number (50600500500471).

Almost surely, 2^{101201001000941} is an apocalyptic number.

It is an amenable number.

101201001000941 is a deficient number, since it is larger than the sum of its proper divisors (1).

101201001000941 is an equidigital number, since it uses as much as digits as its factorization.

101201001000941 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 101201001000941 in words is "one hundred one trillion, two hundred one billion, one million, nine hundred forty-one", and thus it is an aban number.