101222101111200 has 72 divisors (see below), whose sum is σ = 329477939124768. Its totient is φ = 26992560295680.

The previous prime is 101222101111141. The next prime is 101222101111211. The reversal of 101222101111200 is 2111101222101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101222101111200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21087935332 + ... + 21087940131.

It is an arithmetic number, because the mean of its divisors is an integer number (4576082487844).

Almost surely, 2^{101222101111200} is an apocalyptic number.

101222101111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222101111200 is an abundant number, since it is smaller than the sum of its proper divisors (228255838013568).

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

101222101111200 is a wasteful number, since it uses less digits than its factorization.

101222101111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42175875486 (or 42175875473 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101222101111200 its reverse (2111101222101), we get a palindrome (103333202333301).

The spelling of 101222101111200 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred one million, one hundred eleven thousand, two hundred".