100556000100061 has 12 divisors (see below), whose sum is σ = 110528758368000. Its totient is φ = 91414328531240.

The previous prime is 100556000100037. The next prime is 100556000100071. The reversal of 100556000100061 is 160001000655001.

It is not a de Polignac number, because 100556000100061 - 2³⁹ = 100006244286173 is a prime.

It is a super-2 number, since 2×100556000100061² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100556000099999 and 100556000100035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100556000100001) 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, 73079850 + ... + 74443108.

It is an arithmetic number, because the mean of its divisors is an integer number (9210729864000).

Almost surely, 2^{100556000100061} is an apocalyptic number.

100556000100061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100556000100061 is a deficient number, since it is larger than the sum of its proper divisors (9972758267939).

100556000100061 is a wasteful number, since it uses less digits than its factorization.

100556000100061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972880 (or 1972869 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 100556000100061 its reverse (160001000655001), we get a palindrome (260557000755062).

The spelling of 100556000100061 in words is "one hundred trillion, five hundred fifty-six billion, one hundred thousand, sixty-one".