212120110112001 has 128 divisors (see below), whose sum is σ = 360507193761792. Its totient is φ = 107949853440000.

The previous prime is 212120110111979. The next prime is 212120110112011. The reversal of 212120110112001 is 100211011021212.

It is a happy number.

It is not a de Polignac number, because 212120110112001 - 2¹¹ = 212120110109953 is a prime.

It is a super-2 number, since 2×212120110112001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212120110112011) 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 127 ways as a sum of consecutive naturals, for example, 1747927476 + ... + 1748048826.

It is an arithmetic number, because the mean of its divisors is an integer number (2816462451264).

Almost surely, 2^{212120110112001} is an apocalyptic number.

212120110112001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212120110112001 is a deficient number, since it is larger than the sum of its proper divisors (148387083649791).

212120110112001 is a wasteful number, since it uses less digits than its factorization.

212120110112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122863.

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

Adding to 212120110112001 its reverse (100211011021212), we get a palindrome (312331121133213).

The spelling of 212120110112001 in words is "two hundred twelve trillion, one hundred twenty billion, one hundred ten million, one hundred twelve thousand, one".