201021221211101 has 8 divisors (see below), whose sum is σ = 201532748859000. Its totient is φ = 200509791287040.

The previous prime is 201021221211091. The next prime is 201021221211121. The reversal of 201021221211101 is 101112122120102.

It can be written as a sum of positive squares in 4 ways, for example, as 30050690386201 + 170970530824900 = 5481851^2 + 13075570^2 .

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 201021221211101 - 2¹⁰ = 201021221210077 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 201021221211101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201021221211121) 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 7 ways as a sum of consecutive naturals, for example, 20310776 + ... + 28540673.

It is an arithmetic number, because the mean of its divisors is an integer number (25191593607375).

Almost surely, 2^{201021221211101} is an apocalyptic number.

It is an amenable number.

201021221211101 is a deficient number, since it is larger than the sum of its proper divisors (511527647899).

201021221211101 is a wasteful number, since it uses less digits than its factorization.

201021221211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48861919.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 201021221211101 its reverse (101112122120102), we get a palindrome (302133343331203).

Subtracting from 201021221211101 its reverse (101112122120102), we obtain a palindrome (99909099090999).

The spelling of 201021221211101 in words is "two hundred one trillion, twenty-one billion, two hundred twenty-one million, two hundred eleven thousand, one hundred one".