211011122101 has 8 divisors (see below), whose sum is σ = 227270068760. Its totient is φ = 194756078592.

The previous prime is 211011122057. The next prime is 211011122107. The reversal of 211011122101 is 101221110112.

It is a happy number.

211011122101 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 4 ways, for example, as 53858341476 + 157152780625 = 232074^2 + 396425^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 211011122101 - 2²¹ = 211009024949 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 (211011122107) 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 7 ways as a sum of consecutive naturals, for example, 863016 + ... + 1080193.

It is an arithmetic number, because the mean of its divisors is an integer number (28408758595).

Almost surely, 2^211011122101 is an apocalyptic number.

It is an amenable number.

211011122101 is a deficient number, since it is larger than the sum of its proper divisors (16258946659).

211011122101 is a wasteful number, since it uses less digits than its factorization.

211011122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951575.

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

Adding to 211011122101 its reverse (101221110112), we get a palindrome (312232232213).

The spelling of 211011122101 in words is "two hundred eleven billion, eleven million, one hundred twenty-two thousand, one hundred one".