10556161666101 has 24 divisors (see below), whose sum is σ = 15532072261056. Its totient is φ = 6907442774400.

The previous prime is 10556161666091. The next prime is 10556161666181. The reversal of 10556161666101 is 10166616165501.

It is not a de Polignac number, because 10556161666101 - 2¹⁵ = 10556161633333 is a prime.

It is a super-2 number, since 2×10556161666101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10556161666181) 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 23 ways as a sum of consecutive naturals, for example, 50282175 + ... + 50491676.

It is an arithmetic number, because the mean of its divisors is an integer number (647169677544).

Almost surely, 2^{10556161666101} is an apocalyptic number.

It is an amenable number.

10556161666101 is a deficient number, since it is larger than the sum of its proper divisors (4975910594955).

10556161666101 is a wasteful number, since it uses less digits than its factorization.

10556161666101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100774073 (or 100774070 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 10556161666101 in words is "ten trillion, five hundred fifty-six billion, one hundred sixty-one million, six hundred sixty-six thousand, one hundred one".