10001105561055 has 32 divisors (see below), whose sum is σ = 18545309641728. Its totient is φ = 4507540531200.

The previous prime is 10001105561003. The next prime is 10001105561071. The reversal of 10001105561055 is 55016550110001.

It is not a de Polignac number, because 10001105561055 - 2⁶ = 10001105560991 is a prime.

It is a super-2 number, since 2×10001105561055² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 670757506 + ... + 670772415.

It is an arithmetic number, because the mean of its divisors is an integer number (579540926304).

Almost surely, 2^{10001105561055} is an apocalyptic number.

10001105561055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10001105561055 is a deficient number, since it is larger than the sum of its proper divisors (8544204080673).

10001105561055 is a wasteful number, since it uses less digits than its factorization.

10001105561055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341530007.

The product of its (nonzero) digits is 3750, while the sum is 30.

Adding to 10001105561055 its reverse (55016550110001), we get a palindrome (65017655671056).

The spelling of 10001105561055 in words is "ten trillion, one billion, one hundred five million, five hundred sixty-one thousand, fifty-five".