11211101022011 has 8 divisors (see below), whose sum is σ = 12234958324848. Its totient is φ = 10188021436000.

The previous prime is 11211101021969. The next prime is 11211101022029. The reversal of 11211101022011 is 11022010111211.

11211101022011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11211101022011 - 2¹⁴ = 11211101005627 is a prime.

It is a super-2 number, since 2×11211101022011² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11211101022061) 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, 194399060 + ... + 194456721.

It is an arithmetic number, because the mean of its divisors is an integer number (1529369790606).

Almost surely, 2^{11211101022011} is an apocalyptic number.

11211101022011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11211101022011 is a deficient number, since it is larger than the sum of its proper divisors (1023857302837).

11211101022011 is a wasteful number, since it uses less digits than its factorization.

11211101022011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388858413.

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

Adding to 11211101022011 its reverse (11022010111211), we get a palindrome (22233111133222).

The spelling of 11211101022011 in words is "eleven trillion, two hundred eleven billion, one hundred one million, twenty-two thousand, eleven".