1010556061101 has 8 divisors (see below), whose sum is σ = 1497120090560. Its totient is φ = 673704040716.

The previous prime is 1010556061051. The next prime is 1010556061139. The reversal of 1010556061101 is 1011606550101.

1010556061101 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 55 + 606 + 1 + 1 + 0 + 1 = 666.

It is not a de Polignac number, because 1010556061101 - 2¹⁴ = 1010556044717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 37428002263 = 1010556061101 / (1 + 0 + 1 + 0 + 5 + 5 + 6 + 0 + 6 + 1 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010556061171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18714001105 + ... + 18714001158.

It is an arithmetic number, because the mean of its divisors is an integer number (187140011320).

Almost surely, 2^{1010556061101} is an apocalyptic number.

It is an amenable number.

1010556061101 is a deficient number, since it is larger than the sum of its proper divisors (486564029459).

1010556061101 is an equidigital number, since it uses as much as digits as its factorization.

1010556061101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37428002272 (or 37428002266 counting only the distinct ones).

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

The spelling of 1010556061101 in words is "one trillion, ten billion, five hundred fifty-six million, sixty-one thousand, one hundred one".