101222000011011 has 16 divisors (see below), whose sum is σ = 148689742595328. Its totient is φ = 60739273932000.

The previous prime is 101222000011009. The next prime is 101222000011019. The reversal of 101222000011011 is 110110000222101.

It is not a de Polignac number, because 101222000011011 - 2¹ = 101222000011009 is a prime.

It is a super-2 number, since 2×101222000011011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101222000011019) 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 15 ways as a sum of consecutive naturals, for example, 15184815151 + ... + 15184821816.

It is an arithmetic number, because the mean of its divisors is an integer number (9293108912208).

Almost surely, 2^{101222000011011} is an apocalyptic number.

101222000011011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101222000011011 is a deficient number, since it is larger than the sum of its proper divisors (47467742584317).

101222000011011 is a wasteful number, since it uses less digits than its factorization.

101222000011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30369637082.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101222000011011 its reverse (110110000222101), we get a palindrome (211332000233112).

The spelling of 101222000011011 in words is "one hundred one trillion, two hundred twenty-two billion, eleven thousand, eleven".