101149441601 has 16 divisors (see below), whose sum is σ = 115766658000. Its totient is φ = 87549708288.

The previous prime is 101149441583. The next prime is 101149441693. The reversal of 101149441601 is 106144941101.

It is a Cunningham number, because it is equal to 318040²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 1 + 101149441600 = 1^2 + 318040^2 .

It is a cyclic number.

It is not a de Polignac number, because 101149441601 - 2¹⁰ = 101149440577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101149441901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 791276 + ... + 910173.

It is an arithmetic number, because the mean of its divisors is an integer number (7235416125).

Almost surely, 2^101149441601 is an apocalyptic number.

It is an amenable number.

101149441601 is a deficient number, since it is larger than the sum of its proper divisors (14617216399).

101149441601 is a wasteful number, since it uses less digits than its factorization.

101149441601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701748.

The product of its (nonzero) digits is 3456, while the sum is 32.

The spelling of 101149441601 in words is "one hundred one billion, one hundred forty-nine million, four hundred forty-one thousand, six hundred one".