101434012241 has 24 divisors (see below), whose sum is σ = 106426919880. Its totient is φ = 96653813760.

The previous prime is 101434012219. The next prime is 101434012243. The reversal of 101434012241 is 142210434101.

It can be written as a sum of positive squares in 4 ways, for example, as 23938587841 + 77495424400 = 154721^2 + 278380^2 .

It is a de Polignac number, because none of the positive numbers 2^k-101434012241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101434012243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70783661 + ... + 70785093.

It is an arithmetic number, because the mean of its divisors is an integer number (4434454995).

Almost surely, 2^101434012241 is an apocalyptic number.

It is an amenable number.

101434012241 is a deficient number, since it is larger than the sum of its proper divisors (4992907639).

101434012241 is a wasteful number, since it uses less digits than its factorization.

101434012241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 101434012241 its reverse (142210434101), we get a palindrome (243644446342).

The spelling of 101434012241 in words is "one hundred one billion, four hundred thirty-four million, twelve thousand, two hundred forty-one".