100200221022000 has 640 divisors, whose sum is σ = 353486891676672. Its totient is φ = 24217095168000.

The previous prime is 100200221021987. The next prime is 100200221022007. The reversal of 100200221022000 is 220122002001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100200221022007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38055532684 + ... + 38055535316.

Almost surely, 2^{100200221022000} is an apocalyptic number.

100200221022000 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 100200221022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176743445838336).

100200221022000 is an abundant number, since it is smaller than the sum of its proper divisors (253286670654672).

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

100200221022000 is a wasteful number, since it uses less digits than its factorization.

100200221022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4206 (or 4190 counting only the distinct ones).

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

Adding to 100200221022000 its reverse (220122002001), we get a palindrome (100420343024001).

The spelling of 100200221022000 in words is "one hundred trillion, two hundred billion, two hundred twenty-one million, twenty-two thousand".