100202201003220 has 384 divisors, whose sum is σ = 296597481062400. Its totient is φ = 25244373772800.

The previous prime is 100202201003207. The next prime is 100202201003221. The reversal of 100202201003220 is 22300102202001.

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 100202201003220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202201003221) 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, 4686934491 + ... + 4686955869.

It is an arithmetic number, because the mean of its divisors is an integer number (772389273600).

Almost surely, 2^{100202201003220} is an apocalyptic number.

100202201003220 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 100202201003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148298740531200).

100202201003220 is an abundant number, since it is smaller than the sum of its proper divisors (196395280059180).

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

100202201003220 is a wasteful number, since it uses less digits than its factorization.

100202201003220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21859 (or 21857 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 100202201003220 its reverse (22300102202001), we get a palindrome (122502303205221).

The spelling of 100202201003220 in words is "one hundred trillion, two hundred two billion, two hundred one million, three thousand, two hundred twenty".