10055051105561 has 16 divisors (see below), whose sum is σ = 12584946499200. Its totient is φ = 7804617953280.

The previous prime is 10055051105551. The next prime is 10055051105563. The reversal of 10055051105561 is 16550115055001.

It is a cyclic number.

It is not a de Polignac number, because 10055051105561 - 2¹⁰ = 10055051104537 is a prime.

It is a super-2 number, since 2×10055051105561² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10055051105563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254036786 + ... + 254076363.

It is an arithmetic number, because the mean of its divisors is an integer number (786559156200).

Almost surely, 2^{10055051105561} is an apocalyptic number.

10055051105561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10055051105561 is a deficient number, since it is larger than the sum of its proper divisors (2529895393639).

10055051105561 is a wasteful number, since it uses less digits than its factorization.

10055051105561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508113424.

The product of its (nonzero) digits is 18750, while the sum is 35.

The spelling of 10055051105561 in words is "ten trillion, fifty-five billion, fifty-one million, one hundred five thousand, five hundred sixty-one".