100120200222 has 64 divisors (see below), whose sum is σ = 234051876864. Its totient is φ = 27956812800.

The previous prime is 100120200221. The next prime is 100120200227. The reversal of 100120200222 is 222002021001.

It is a junction number, because it is equal to n+sod(n) for n = 100120200198 and 100120200207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120200221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1347598 + ... + 1419950.

It is an arithmetic number, because the mean of its divisors is an integer number (3657060576).

Almost surely, 2^100120200222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100120200222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117025938432).

100120200222 is an abundant number, since it is smaller than the sum of its proper divisors (133931676642).

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

100120200222 is a wasteful number, since it uses less digits than its factorization.

100120200222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73113.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100120200222 its reverse (222002021001), we get a palindrome (322122221223).

The spelling of 100120200222 in words is "one hundred billion, one hundred twenty million, two hundred thousand, two hundred twenty-two".