2112124420201 has 16 divisors (see below), whose sum is σ = 2296203689808. Its totient is φ = 1934917632000.

The previous prime is 2112124420157. The next prime is 2112124420247. The reversal of 2112124420201 is 1020244212112.

It can be written as a sum of positive squares in 8 ways, for example, as 643909953600 + 1468214466601 = 802440^2 + 1211699^2 .

It is a 10-Lehmer number, since φ(2112124420201) divides (2112124420201-1)¹⁰.

It is a cyclic number.

It is not a de Polignac number, because 2112124420201 - 2¹⁷ = 2112124289129 is a prime.

It is a super-2 number, since 2×2112124420201² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2112124420261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3197400 + ... + 3801001.

It is an arithmetic number, because the mean of its divisors is an integer number (143512730613).

Almost surely, 2^{2112124420201} is an apocalyptic number.

It is an amenable number.

2112124420201 is a deficient number, since it is larger than the sum of its proper divisors (184079269607).

2112124420201 is a wasteful number, since it uses less digits than its factorization.

2112124420201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6998892.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 2112124420201 its reverse (1020244212112), we get a palindrome (3132368632313).

The spelling of 2112124420201 in words is "two trillion, one hundred twelve billion, one hundred twenty-four million, four hundred twenty thousand, two hundred one".