101000510061 has 64 divisors (see below), whose sum is σ = 160351488000. Its totient is φ = 55859086080.

The previous prime is 101000510059. The next prime is 101000510111. The reversal of 101000510061 is 160015000101.

It is not a de Polignac number, because 101000510061 - 2¹ = 101000510059 is a prime.

It is a super-2 number, since 2×101000510061² (a number of 23 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 101000510061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000510011) 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 63 ways as a sum of consecutive naturals, for example, 7976011 + ... + 7988663.

It is an arithmetic number, because the mean of its divisors is an integer number (2505492000).

Almost surely, 2^101000510061 is an apocalyptic number.

101000510061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101000510061 is a deficient number, since it is larger than the sum of its proper divisors (59350977939).

101000510061 is a wasteful number, since it uses less digits than its factorization.

101000510061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13154.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 101000510061 its reverse (160015000101), we get a palindrome (261015510162).

The spelling of 101000510061 in words is "one hundred one billion, five hundred ten thousand, sixty-one".