101030541561 has 36 divisors (see below), whose sum is σ = 155512555692. Its totient is φ = 63191222784.

The previous prime is 101030541559. The next prime is 101030541571. The reversal of 101030541561 is 165145030101.

101030541561 is a `hidden beast` number, since 10 + 10 + 30 + 54 + 1 + 561 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1336268025 + 99694273536 = 36555^2 + 315744^2 .

It is not a de Polignac number, because 101030541561 - 2¹ = 101030541559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101030541571) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 763251 + ... + 885783.

Almost surely, 2^101030541561 is an apocalyptic number.

It is an amenable number.

101030541561 is a deficient number, since it is larger than the sum of its proper divisors (54482014131).

101030541561 is a wasteful number, since it uses less digits than its factorization.

101030541561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122890 (or 122870 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 101030541561 its reverse (165145030101), we get a palindrome (266175571662).

The spelling of 101030541561 in words is "one hundred one billion, thirty million, five hundred forty-one thousand, five hundred sixty-one".