100100222200220 has 192 divisors, whose sum is σ = 247110267317760. Its totient is φ = 33673275417600.

The previous prime is 100100222200219. The next prime is 100100222200243. The reversal of 100100222200220 is 22002222001001.

It is a junction number, because it is equal to n+sod(n) for n = 100100222200195 and 100100222200204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45674234 + ... + 47815646.

It is an arithmetic number, because the mean of its divisors is an integer number (1287032642280).

Almost surely, 2^{100100222200220} is an apocalyptic number.

100100222200220 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 100100222200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123555133658880).

100100222200220 is an abundant number, since it is smaller than the sum of its proper divisors (147010045117540).

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

100100222200220 is a wasteful number, since it uses less digits than its factorization.

100100222200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141716 (or 2141714 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 100100222200220 its reverse (22002222001001), we get a palindrome (122102444201221).

The spelling of 100100222200220 in words is "one hundred trillion, one hundred billion, two hundred twenty-two million, two hundred thousand, two hundred twenty".