101110221111011 has 16 divisors (see below), whose sum is σ = 115729233387264. Its totient is φ = 86534917428384.

The previous prime is 101110221110999. The next prime is 101110221111017. The reversal of 101110221111011 is 110111122011101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101110221111011 is a prime.

It is a super-3 number, since 3×101110221111011³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101110221111017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33457880 + ... + 36354506.

It is an arithmetic number, because the mean of its divisors is an integer number (7233077086704).

Almost surely, 2^{101110221111011} is an apocalyptic number.

101110221111011 is a deficient number, since it is larger than the sum of its proper divisors (14619012276253).

101110221111011 is an equidigital number, since it uses as much as digits as its factorization.

101110221111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904170.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 101110221111011 its reverse (110111122011101), we get a palindrome (211221343122112).

The spelling of 101110221111011 in words is "one hundred one trillion, one hundred ten billion, two hundred twenty-one million, one hundred eleven thousand, eleven".