101112121120104 has 48 divisors (see below), whose sum is σ = 273868943758020. Its totient is φ = 33701133822720.

The previous prime is 101112121120103. The next prime is 101112121120117. The reversal of 101112121120104 is 401021121211101.

It can be written as a sum of positive squares in 2 ways, for example, as 81131489319204 + 19980631800900 = 9007302^2 + 4469970^2 .

It is a super-2 number, since 2×101112121120104² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101112121120103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 59712357 + ... + 61382324.

Almost surely, 2^{101112121120104} is an apocalyptic number.

It is an amenable number.

101112121120104 is an abundant number, since it is smaller than the sum of its proper divisors (172756822637916).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101112121120104 is a wasteful number, since it uses less digits than its factorization.

101112121120104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121106290 (or 121106283 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101112121120104 its reverse (401021121211101), we get a palindrome (502133242331205).

The spelling of 101112121120104 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty-one million, one hundred twenty thousand, one hundred four".