101105005500555 has 64 divisors (see below), whose sum is σ = 188680494873600. Its totient is φ = 46212140932608.

The previous prime is 101105005500503. The next prime is 101105005500557. The reversal of 101105005500555 is 555005500501101.

It is not a de Polignac number, because 101105005500555 - 2¹⁷ = 101105005369483 is a prime.

It is a super-2 number, since 2×101105005500555² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101105005500557) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31139584 + ... + 34232786.

It is an arithmetic number, because the mean of its divisors is an integer number (2948132732400).

Almost surely, 2^{101105005500555} is an apocalyptic number.

101105005500555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101105005500555 is a deficient number, since it is larger than the sum of its proper divisors (87575489373045).

101105005500555 is an equidigital number, since it uses as much as digits as its factorization.

101105005500555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3099585 (or 3099571 counting only the distinct ones).

The product of its (nonzero) digits is 15625, while the sum is 33.

The spelling of 101105005500555 in words is "one hundred one trillion, one hundred five billion, five million, five hundred thousand, five hundred fifty-five".