101222114224 has 160 divisors (see below), whose sum is σ = 268571381760. Its totient is φ = 35736940800.

The previous prime is 101222114137. The next prime is 101222114233. The reversal of 101222114224 is 422411222101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 101222114195 and 101222114204.

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 31 ways as a sum of consecutive naturals, for example, 444379 + ... + 632389.

It is an arithmetic number, because the mean of its divisors is an integer number (1678571136).

Almost surely, 2^101222114224 is an apocalyptic number.

101222114224 is a gapful number since it is divisible by the number (14) 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 101222114224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134285690880).

101222114224 is an abundant number, since it is smaller than the sum of its proper divisors (167349267536).

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

101222114224 is a wasteful number, since it uses less digits than its factorization.

101222114224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188079 (or 188073 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 101222114224 its reverse (422411222101), we get a palindrome (523633336325).

The spelling of 101222114224 in words is "one hundred one billion, two hundred twenty-two million, one hundred fourteen thousand, two hundred twenty-four".