101222221111011 has 192 divisors, whose sum is σ = 204920643572736. Its totient is φ = 46452075955200.

The previous prime is 101222221110991. The next prime is 101222221111129. The reversal of 101222221111011 is 110111122222101.

It is a happy number.

101222221111011 is a `hidden beast` number, since 101 + 222 + 221 + 1 + 110 + 11 = 666.

It is not a de Polignac number, because 101222221111011 - 2⁷ = 101222221110883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101222221121011) 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 191 ways as a sum of consecutive naturals, for example, 17844240 + ... + 22822386.

It is an arithmetic number, because the mean of its divisors is an integer number (1067295018608).

Almost surely, 2^{101222221111011} is an apocalyptic number.

101222221111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101222221111011 is an abundant number, since it is smaller than the sum of its proper divisors (103698422461725).

101222221111011 is a wasteful number, since it uses less digits than its factorization.

101222221111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4978282 (or 4978279 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101222221111011 its reverse (110111122222101), we get a palindrome (211333343333112).

The spelling of 101222221111011 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred twenty-one million, one hundred eleven thousand, eleven".