211011221101001 has 8 divisors (see below), whose sum is σ = 213134069727624. Its totient is φ = 208889031859200.

The previous prime is 211011221100893. The next prime is 211011221101003. The reversal of 211011221101001 is 100101122110112.

It can be written as a sum of positive squares in 4 ways, for example, as 26305861397776 + 184705359703225 = 5128924^2 + 13590635^2 .

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 211011221101001 - 2²⁶ = 211011153992137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211011221101003) 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, 164202950 + ... + 165483023.

It is an arithmetic number, because the mean of its divisors is an integer number (26641758715953).

Almost surely, 2^{211011221101001} is an apocalyptic number.

It is an amenable number.

211011221101001 is a deficient number, since it is larger than the sum of its proper divisors (2122848626623).

211011221101001 is a wasteful number, since it uses less digits than its factorization.

211011221101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329692411.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 211011221101001 its reverse (100101122110112), we get a palindrome (311112343211113).

The spelling of 211011221101001 in words is "two hundred eleven trillion, eleven billion, two hundred twenty-one million, one hundred one thousand, one".