211022002010101 has 16 divisors (see below), whose sum is σ = 219432027962160. Its totient is φ = 202687558778880.

The previous prime is 211022002010041. The next prime is 211022002010117. The reversal of 211022002010101 is 101010200220112.

It can be written as a sum of positive squares in 8 ways, for example, as 16701329399076 + 194320672611025 = 4086726^2 + 13939895^2 .

It is a cyclic number.

It is not a de Polignac number, because 211022002010101 - 2²⁹ = 211021465139189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211022002013101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 856850341 + ... + 857096581.

It is an arithmetic number, because the mean of its divisors is an integer number (13714501747635).

Almost surely, 2^{211022002010101} is an apocalyptic number.

It is an amenable number.

211022002010101 is a deficient number, since it is larger than the sum of its proper divisors (8410025952059).

211022002010101 is a wasteful number, since it uses less digits than its factorization.

211022002010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399576.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211022002010101 its reverse (101010200220112), we get a palindrome (312032202230213).

The spelling of 211022002010101 in words is "two hundred eleven trillion, twenty-two billion, two million, ten thousand, one hundred one".