112122201102001 has 8 divisors (see below), whose sum is σ = 113599001250504. Its totient is φ = 110651949957120.

The previous prime is 112122201101849. The next prime is 112122201102019. The reversal of 112122201102001 is 100201102221211.

It can be written as a sum of positive squares in 4 ways, for example, as 33660871636401 + 78461329465600 = 5801799^2 + 8857840^2 .

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 112122201102001 - 2⁹ = 112122201101489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112122201105001) 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, 1637216440 + ... + 1637284921.

It is an arithmetic number, because the mean of its divisors is an integer number (14199875156313).

Almost surely, 2^{112122201102001} is an apocalyptic number.

It is an amenable number.

112122201102001 is a deficient number, since it is larger than the sum of its proper divisors (1476800148503).

112122201102001 is an equidigital number, since it uses as much as digits as its factorization.

112122201102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3274501811.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112122201102001 its reverse (100201102221211), we get a palindrome (212323303323212).

The spelling of 112122201102001 in words is "one hundred twelve trillion, one hundred twenty-two billion, two hundred one million, one hundred two thousand, one".