101222121444 has 384 divisors, whose sum is σ = 275053363200. Its totient is φ = 28822210560.

The previous prime is 101222121433. The next prime is 101222121479. The reversal of 101222121444 is 444121222101.

It is a happy number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 928643262 + ... + 928643370.

It is an arithmetic number, because the mean of its divisors is an integer number (716284800).

Almost surely, 2^101222121444 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 101222121444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137526681600).

101222121444 is an abundant number, since it is smaller than the sum of its proper divisors (173831241756).

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

101222121444 is a wasteful number, since it uses less digits than its factorization.

101222121444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 101222121444 its reverse (444121222101), we get a palindrome (545343343545).

The spelling of 101222121444 in words is "one hundred one billion, two hundred twenty-two million, one hundred twenty-one thousand, four hundred forty-four".