211000122201101 has 8 divisors (see below), whose sum is σ = 211324416308280. Its totient is φ = 210675831672832.

The previous prime is 211000122201073. The next prime is 211000122201137. The reversal of 211000122201101 is 101102221000112.

It can be written as a sum of positive squares in 4 ways, for example, as 29384096904100 + 181616025297001 = 5420710^2 + 13476499^2 .

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 211000122201101 - 2³⁸ = 210725244294157 is a prime.

It is a super-2 number, since 2×211000122201101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211000122281101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132336605 + ... + 133921533.

It is an arithmetic number, because the mean of its divisors is an integer number (26415552038535).

Almost surely, 2^{211000122201101} is an apocalyptic number.

It is an amenable number.

211000122201101 is a deficient number, since it is larger than the sum of its proper divisors (324294107179).

211000122201101 is a wasteful number, since it uses less digits than its factorization.

211000122201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789455.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211000122201101 its reverse (101102221000112), we get a palindrome (312102343201213).

The spelling of 211000122201101 in words is "two hundred eleven trillion, one hundred twenty-two million, two hundred one thousand, one hundred one".