101060000561 has 12 divisors (see below), whose sum is σ = 109467602460. Its totient is φ = 93255664320.

The previous prime is 101060000549. The next prime is 101060000563. The reversal of 101060000561 is 165000060101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 61595794225 + 39464206336 = 248185^2 + 198656^2 .

It is not a de Polignac number, because 101060000561 - 2⁶ = 101060000497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101060000563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 429251 + ... + 621591.

It is an arithmetic number, because the mean of its divisors is an integer number (9122300205).

Almost surely, 2^101060000561 is an apocalyptic number.

It is an amenable number.

101060000561 is a deficient number, since it is larger than the sum of its proper divisors (8407601899).

101060000561 is a wasteful number, since it uses less digits than its factorization.

101060000561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195476 (or 195463 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 101060000561 its reverse (165000060101), we get a palindrome (266060060662).

The spelling of 101060000561 in words is "one hundred one billion, sixty million, five hundred sixty-one", and thus it is an aban number.