2200201120100 has 108 divisors (see below), whose sum is σ = 5112756098604. Its totient is φ = 818999132160.

The previous prime is 2200201120079. The next prime is 2200201120109. The reversal of 2200201120100 is 10211020022.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 2142201067876 + 58000052224 = 1463626^2 + 240832^2 .

It is not an unprimeable number, because it can be changed into a prime (2200201120109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13384004 + ... + 13547396.

Almost surely, 2^{2200201120100} is an apocalyptic number.

2200201120100 is a gapful number since it is divisible by the number (20) 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 2200201120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556378049302).

2200201120100 is an abundant number, since it is smaller than the sum of its proper divisors (2912554978504).

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

2200201120100 is a wasteful number, since it uses less digits than its factorization.

2200201120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163602 (or 163506 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2200201120100 its reverse (10211020022), we get a palindrome (2210412140122).

The spelling of 2200201120100 in words is "two trillion, two hundred billion, two hundred one million, one hundred twenty thousand, one hundred".