101222021012200 has 72 divisors (see below), whose sum is σ = 258680821941990. Its totient is φ = 36808007632000.

The previous prime is 101222021012191. The next prime is 101222021012207. The reversal of 101222021012200 is 2210120222101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 76499268060996 + 24722752951204 = 8746386^2 + 4972198^2 .

It is not an unprimeable number, because it can be changed into a prime (101222021012207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2091339871 + ... + 2091388270.

Almost surely, 2^{101222021012200} is an apocalyptic number.

101222021012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222021012200 is an abundant number, since it is smaller than the sum of its proper divisors (157458800929790).

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

101222021012200 is a wasteful number, since it uses less digits than its factorization.

101222021012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4182728179 (or 4182728159 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101222021012200 its reverse (2210120222101), we get a palindrome (103432141234301).

The spelling of 101222021012200 in words is "one hundred one trillion, two hundred twenty-two billion, twenty-one million, twelve thousand, two hundred".