112121021001 has 32 divisors (see below), whose sum is σ = 164373580800. Its totient is φ = 67417030080.

The previous prime is 112121020997. The next prime is 112121021021. The reversal of 112121021001 is 100120121211.

It is not a de Polignac number, because 112121021001 - 2² = 112121020997 is a prime.

It is a super-2 number, since 2×112121021001² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112121021021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2571555 + ... + 2614791.

It is an arithmetic number, because the mean of its divisors is an integer number (5136674400).

Almost surely, 2^112121021001 is an apocalyptic number.

112121021001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112121021001 is a deficient number, since it is larger than the sum of its proper divisors (52252559799).

112121021001 is a wasteful number, since it uses less digits than its factorization.

112121021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43869.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112121021001 its reverse (100120121211), we get a palindrome (212241142212).

The spelling of 112121021001 in words is "one hundred twelve billion, one hundred twenty-one million, twenty-one thousand, one".