2110121100105 has 8 divisors (see below), whose sum is σ = 3376193760192. Its totient is φ = 1125397920048.

The previous prime is 2110121100077. The next prime is 2110121100119. The reversal of 2110121100105 is 5010011210112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2110121100105 - 2¹³ = 2110121091913 is a prime.

It is a super-2 number, since 2×2110121100105² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 140674740007 = 2110121100105 / (2 + 1 + 1 + 0 + 1 + 2 + 1 + 1 + 0 + 0 + 1 + 0 + 5).

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 7 ways as a sum of consecutive naturals, for example, 70337369989 + ... + 70337370018.

It is an arithmetic number, because the mean of its divisors is an integer number (422024220024).

Almost surely, 2^{2110121100105} is an apocalyptic number.

It is an amenable number.

2110121100105 is a deficient number, since it is larger than the sum of its proper divisors (1266072660087).

2110121100105 is a wasteful number, since it uses less digits than its factorization.

2110121100105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140674740015.

The product of its (nonzero) digits is 20, while the sum is 15.

Adding to 2110121100105 its reverse (5010011210112), we get a palindrome (7120132310217).

The spelling of 2110121100105 in words is "two trillion, one hundred ten billion, one hundred twenty-one million, one hundred thousand, one hundred five".