101222220122112 has 384 divisors, whose sum is σ = 282634298593920. Its totient is φ = 32185987891200.

The previous prime is 101222220122071. The next prime is 101222220122119. The reversal of 101222220122112 is 211221022222101.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (101222220122119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2359415862 + ... + 2359458762.

It is an arithmetic number, because the mean of its divisors is an integer number (736026819255).

Almost surely, 2^{101222220122112} is an apocalyptic number.

101222220122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101222220122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141317149296960).

101222220122112 is an abundant number, since it is smaller than the sum of its proper divisors (181412078471808).

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

101222220122112 is a wasteful number, since it uses less digits than its factorization.

101222220122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43167 (or 43147 counting only the distinct ones).

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

Adding to 101222220122112 its reverse (211221022222101), we get a palindrome (312443242344213).

The spelling of 101222220122112 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred twenty million, one hundred twenty-two thousand, one hundred twelve".