10100060061 has 48 divisors (see below), whose sum is σ = 16692410880. Its totient is φ = 5318913600.

The previous prime is 10100060053. The next prime is 10100060123. The reversal of 10100060061 is 16006000101.

10100060061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10100060061 - 2³ = 10100060053 is a prime.

It is a super-2 number, since 2×10100060061² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10100060061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100060011) 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 47 ways as a sum of consecutive naturals, for example, 2620786 + ... + 2624636.

It is an arithmetic number, because the mean of its divisors is an integer number (347758560).

Almost surely, 2^10100060061 is an apocalyptic number.

It is an amenable number.

10100060061 is a deficient number, since it is larger than the sum of its proper divisors (6592350819).

10100060061 is a wasteful number, since it uses less digits than its factorization.

10100060061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4626 (or 4613 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10100060061 its reverse (16006000101), we get a palindrome (26106060162).

The spelling of 10100060061 in words is "ten billion, one hundred million, sixty thousand, sixty-one".