212100201011013 has 48 divisors (see below), whose sum is σ = 336557404930176. Its totient is φ = 118435609528320.

The previous prime is 212100201010993. The next prime is 212100201011053. The reversal of 212100201011013 is 310110102001212.

212100201011013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212100201011013 - 2⁶ = 212100201010949 is a prime.

It is a super-3 number, since 3×212100201011013³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212100201010983 and 212100201011001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212100201011053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88740756 + ... + 91099517.

It is an arithmetic number, because the mean of its divisors is an integer number (7011612602712).

Almost surely, 2^{212100201011013} is an apocalyptic number.

It is an amenable number.

212100201011013 is a deficient number, since it is larger than the sum of its proper divisors (124457203919163).

212100201011013 is a wasteful number, since it uses less digits than its factorization.

212100201011013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179840474 (or 179840467 counting only the distinct ones).

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

Adding to 212100201011013 its reverse (310110102001212), we get a palindrome (522210303012225).

The spelling of 212100201011013 in words is "two hundred twelve trillion, one hundred billion, two hundred one million, eleven thousand, thirteen".