100201220000 has 240 divisors, whose sum is σ = 284401212480. Its totient is φ = 34028544000.

The previous prime is 100201219969. The next prime is 100201220003. The reversal of 100201220000 is 22102001.

100201220000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 100201220000.

It is not an unprimeable number, because it can be changed into a prime (100201220003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14976656 + ... + 14983344.

It is an arithmetic number, because the mean of its divisors is an integer number (1185005052).

Almost surely, 2^100201220000 is an apocalyptic number.

100201220000 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 100201220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142200606240).

100201220000 is an abundant number, since it is smaller than the sum of its proper divisors (184199992480).

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

100201220000 is an equidigital number, since it uses as much as digits as its factorization.

100201220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6833 (or 6810 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 100201220000 its reverse (22102001), we get a palindrome (100223322001).

The spelling of 100201220000 in words is "one hundred billion, two hundred one million, two hundred twenty thousand".