101402041041 has 36 divisors (see below), whose sum is σ = 170420968692. Its totient is φ = 57931118784.

The previous prime is 101402041019. The next prime is 101402041057. The reversal of 101402041041 is 140140204101.

It can be written as a sum of positive squares in 2 ways, for example, as 84911628816 + 16490412225 = 291396^2 + 128415^2 .

It is not a de Polignac number, because 101402041041 - 2¹⁷ = 101401909969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101402041441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2169975 + ... + 2216211.

It is an arithmetic number, because the mean of its divisors is an integer number (4733915797).

Almost surely, 2^101402041041 is an apocalyptic number.

It is an amenable number.

101402041041 is a deficient number, since it is larger than the sum of its proper divisors (69018927651).

101402041041 is a wasteful number, since it uses less digits than its factorization.

101402041041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51230 (or 51220 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101402041041 its reverse (140140204101), we get a palindrome (241542245142).

The spelling of 101402041041 in words is "one hundred one billion, four hundred two million, forty-one thousand, forty-one".