101001000011122 has 8 divisors (see below), whose sum is σ = 151985530369116. Its totient is φ = 50339156554752.

The previous prime is 101001000011083. The next prime is 101001000011159. The reversal of 101001000011122 is 221110000100101.

It can be written as a sum of positive squares in 2 ways, for example, as 69890920886241 + 31110079124881 = 8360079^2 + 5577641^2 .

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

It is a super-3 number, since 3×101001000011122³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101001000011099 and 101001000011108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80671724623 + ... + 80671725874.

Almost surely, 2^{101001000011122} is an apocalyptic number.

101001000011122 is a deficient number, since it is larger than the sum of its proper divisors (50984530357994).

101001000011122 is a wasteful number, since it uses less digits than its factorization.

101001000011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161343450812.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101001000011122 its reverse (221110000100101), we get a palindrome (322111000111223).

The spelling of 101001000011122 in words is "one hundred one trillion, one billion, eleven thousand, one hundred twenty-two".