101222021200 has 120 divisors (see below), whose sum is σ = 256563936000. Its totient is φ = 38271098880.

The previous prime is 101222021191. The next prime is 101222021233. The reversal of 101222021200 is 2120222101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 3397569 + ... + 3427231.

It is an arithmetic number, because the mean of its divisors is an integer number (2138032800).

Almost surely, 2^101222021200 is an apocalyptic number.

101222021200 is a gapful number since it is divisible by the number (10) 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 101222021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128281968000).

101222021200 is an abundant number, since it is smaller than the sum of its proper divisors (155341914800).

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

101222021200 is a wasteful number, since it uses less digits than its factorization.

101222021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30149 (or 30138 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101222021200 its reverse (2120222101), we get a palindrome (103342243301).

The spelling of 101222021200 in words is "one hundred one billion, two hundred twenty-two million, twenty-one thousand, two hundred".