2112314202401 has 8 divisors (see below), whose sum is σ = 2274953685480. Its totient is φ = 1949696687232.

The previous prime is 2112314202379. The next prime is 2112314202461. The reversal of 2112314202401 is 1042024132112.

It can be written as a sum of positive squares in 4 ways, for example, as 235753947025 + 1876560255376 = 485545^2 + 1369876^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2112314202401 - 2³⁰ = 2111240460577 is a prime.

It is a super-3 number, since 3×2112314202401³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2112314202461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5291996 + ... + 5677133.

It is an arithmetic number, because the mean of its divisors is an integer number (284369210685).

Almost surely, 2^{2112314202401} is an apocalyptic number.

It is an amenable number.

2112314202401 is a deficient number, since it is larger than the sum of its proper divisors (162639483079).

2112314202401 is a wasteful number, since it uses less digits than its factorization.

2112314202401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10983955.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 2112314202401 its reverse (1042024132112), we get a palindrome (3154338334513).

The spelling of 2112314202401 in words is "two trillion, one hundred twelve billion, three hundred fourteen million, two hundred two thousand, four hundred one".