101222021220200 has 96 divisors (see below), whose sum is σ = 237435224780160. Its totient is φ = 40130109062400.

The previous prime is 101222021220169. The next prime is 101222021220209. The reversal of 101222021220200 is 2022120222101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101222021220209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5478005 + ... + 15246395.

It is an arithmetic number, because the mean of its divisors is an integer number (2473283591460).

Almost surely, 2^{101222021220200} is an apocalyptic number.

101222021220200 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 101222021220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118717612390080).

101222021220200 is an abundant number, since it is smaller than the sum of its proper divisors (136213203559960).

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

101222021220200 is a wasteful number, since it uses less digits than its factorization.

101222021220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9768867 (or 9768858 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 101222021220200 its reverse (2022120222101), we get a palindrome (103244141442301).

The spelling of 101222021220200 in words is "one hundred one trillion, two hundred twenty-two billion, twenty-one million, two hundred twenty thousand, two hundred".