212101112301 has 64 divisors (see below), whose sum is σ = 320445210624. Its totient is φ = 123909004800.

The previous prime is 212101112291. The next prime is 212101112309. The reversal of 212101112301 is 103211101212.

It is not a de Polignac number, because 212101112301 - 2⁵ = 212101112269 is a prime.

It is a super-3 number, since 3×212101112301³ (a number of 35 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101112309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18627456 + ... + 18638838.

It is an arithmetic number, because the mean of its divisors is an integer number (5006956416).

Almost surely, 2^212101112301 is an apocalyptic number.

It is an amenable number.

212101112301 is a deficient number, since it is larger than the sum of its proper divisors (108344098323).

212101112301 is a wasteful number, since it uses less digits than its factorization.

212101112301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11754.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 212101112301 its reverse (103211101212), we get a palindrome (315312213513).

It can be divided in two parts, 2121011 and 12301, that added together give a palindrome (2133312).

The spelling of 212101112301 in words is "two hundred twelve billion, one hundred one million, one hundred twelve thousand, three hundred one".