212010201101101 has 16 divisors (see below), whose sum is σ = 234408334028400. Its totient is φ = 190503280558080.

The previous prime is 212010201101053. The next prime is 212010201101113. The reversal of 212010201101101 is 101101102010212.

It is a happy number.

212010201101101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 32318883900900 + 179691317200201 = 5684970^2 + 13404899^2 .

It is a cyclic number.

It is not a de Polignac number, because 212010201101101 - 2¹³ = 212010201092909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212010201101131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442709160 + ... + 443187793.

It is an arithmetic number, because the mean of its divisors is an integer number (14650520876775).

Almost surely, 2^{212010201101101} is an apocalyptic number.

It is an amenable number.

212010201101101 is a deficient number, since it is larger than the sum of its proper divisors (22398132927299).

212010201101101 is a wasteful number, since it uses less digits than its factorization.

212010201101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885897456.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 212010201101101 its reverse (101101102010212), we get a palindrome (313111303111313).

The spelling of 212010201101101 in words is "two hundred twelve trillion, ten billion, two hundred one million, one hundred one thousand, one hundred one".