101322301122200 has 48 divisors (see below), whose sum is σ = 235575083699160. Its totient is φ = 40528794240000.

The previous prime is 101322301122197. The next prime is 101322301122223. The reversal of 101322301122200 is 2221103223101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 89195795 + ... + 90324605.

Almost surely, 2^{101322301122200} is an apocalyptic number.

101322301122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101322301122200 is an abundant number, since it is smaller than the sum of its proper divisors (134252782576960).

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

101322301122200 is a wasteful number, since it uses less digits than its factorization.

101322301122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577628 (or 1577619 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 101322301122200 its reverse (2221103223101), we get a palindrome (103543404345301).

The spelling of 101322301122200 in words is "one hundred one trillion, three hundred twenty-two billion, three hundred one million, one hundred twenty-two thousand, two hundred".