101222022122112 has 32 divisors (see below), whose sum is σ = 268870996262880. Its totient is φ = 33740674040576.

The previous prime is 101222022122107. The next prime is 101222022122129. The reversal of 101222022122112 is 211221220222101.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×101222022122112² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131799507588 + ... + 131799508355.

It is an arithmetic number, because the mean of its divisors is an integer number (8402218633215).

Almost surely, 2^{101222022122112} is an apocalyptic number.

101222022122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101222022122112 is an abundant number, since it is smaller than the sum of its proper divisors (167648974140768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101222022122112 is an equidigital number, since it uses as much as digits as its factorization.

101222022122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263599015960 (or 263599015948 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 101222022122112 its reverse (211221220222101), we get a palindrome (312443242344213).

The spelling of 101222022122112 in words is "one hundred one trillion, two hundred twenty-two billion, twenty-two million, one hundred twenty-two thousand, one hundred twelve".