112122121100001 has 32 divisors (see below), whose sum is σ = 151097869238400. Its totient is φ = 73949782416384.

The previous prime is 112122121099969. The next prime is 112122121100023. The reversal of 112122121100001 is 100001121221211.

It is a happy number.

It is not a de Polignac number, because 112122121100001 - 2⁵ = 112122121099969 is a prime.

It is a super-3 number, since 3×112122121100001³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (112122121100701) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458918791 + ... + 459163043.

It is an arithmetic number, because the mean of its divisors is an integer number (4721808413700).

Almost surely, 2^{112122121100001} is an apocalyptic number.

It is an amenable number.

112122121100001 is a deficient number, since it is larger than the sum of its proper divisors (38975748138399).

112122121100001 is a wasteful number, since it uses less digits than its factorization.

112122121100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246865.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112122121100001 its reverse (100001121221211), we get a palindrome (212123242321212).

The spelling of 112122121100001 in words is "one hundred twelve trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred thousand, one".