10556101010061 has 6 divisors (see below), whose sum is σ = 15247701458990. Its totient is φ = 7037400673368.

The previous prime is 10556101010011. The next prime is 10556101010087. The reversal of 10556101010061 is 16001010165501.

10556101010061 is a `hidden beast` number, since 1 + 0 + 556 + 1 + 0 + 1 + 0 + 100 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10369243657161 + 186857352900 = 3220131^2 + 432270^2 .

It is not a de Polignac number, because 10556101010061 - 2⁶ = 10556101009997 is a prime.

It is a super-2 number, since 2×10556101010061² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10556101010011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 586450056106 + ... + 586450056123.

Almost surely, 2^{10556101010061} is an apocalyptic number.

It is an amenable number.

10556101010061 is a deficient number, since it is larger than the sum of its proper divisors (4691600448929).

10556101010061 is a wasteful number, since it uses less digits than its factorization.

10556101010061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172900112235 (or 1172900112232 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 10556101010061 its reverse (16001010165501), we get a palindrome (26557111175562).

The spelling of 10556101010061 in words is "ten trillion, five hundred fifty-six billion, one hundred one million, ten thousand, sixty-one".