101222002112 has 168 divisors, whose sum is σ = 253223926368. Its totient is φ = 39296378880.

The previous prime is 101222002111. The next prime is 101222002127. The reversal of 101222002112 is 211200222101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222002111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15879758 + ... + 15886130.

It is an arithmetic number, because the mean of its divisors is an integer number (1507285276).

Almost surely, 2^101222002112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101222002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126611963184).

101222002112 is an abundant number, since it is smaller than the sum of its proper divisors (152001924256).

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

101222002112 is a wasteful number, since it uses less digits than its factorization.

101222002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6707 (or 6686 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101222002112 its reverse (211200222101), we get a palindrome (312422224213).

The spelling of 101222002112 in words is "one hundred one billion, two hundred twenty-two million, two thousand, one hundred twelve".