101100551010105 has 16 divisors (see below), whose sum is σ = 161761033010304. Its totient is φ = 53920243407360.

The previous prime is 101100551010073. The next prime is 101100551010127. The reversal of 101100551010105 is 501010155001101.

It is not a de Polignac number, because 101100551010105 - 2⁵ = 101100551010073 is a prime.

It is a super-2 number, since 2×101100551010105² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17971945 + ... + 22917065.

It is an arithmetic number, because the mean of its divisors is an integer number (10110064563144).

Almost surely, 2^{101100551010105} is an apocalyptic number.

101100551010105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101100551010105 is a deficient number, since it is larger than the sum of its proper divisors (60660482000199).

101100551010105 is a wasteful number, since it uses less digits than its factorization.

101100551010105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6308096.

The product of its (nonzero) digits is 125, while the sum is 21.

The spelling of 101100551010105 in words is "one hundred one trillion, one hundred billion, five hundred fifty-one million, ten thousand, one hundred five".