201101211101011 has 8 divisors (see below), whose sum is σ = 216597883360320. Its totient is φ = 185608445745792.

The previous prime is 201101211101009. The next prime is 201101211101137. The reversal of 201101211101011 is 110101112101102.

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 201101211101011 - 2¹ = 201101211101009 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 junction number, because it is equal to n+sod(n) for n = 201101211100982 and 201101211101000.

It is not an unprimeable number, because it can be changed into a prime (201101211101611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 976619110 + ... + 976825003.

It is an arithmetic number, because the mean of its divisors is an integer number (27074735420040).

Almost surely, 2^{201101211101011} is an apocalyptic number.

201101211101011 is a deficient number, since it is larger than the sum of its proper divisors (15496672259309).

201101211101011 is a wasteful number, since it uses less digits than its factorization.

201101211101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953452045.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 201101211101011 its reverse (110101112101102), we get a palindrome (311202323202113).

The spelling of 201101211101011 in words is "two hundred one trillion, one hundred one billion, two hundred eleven million, one hundred one thousand, eleven".