2201002120100 has 72 divisors (see below), whose sum is σ = 5519816709120. Its totient is φ = 746150296320.

The previous prime is 2201002120091. The next prime is 2201002120103. The reversal of 2201002120100 is 10212001022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2201002120103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17602244 + ... + 17726843.

It is an arithmetic number, because the mean of its divisors is an integer number (76664120960).

Almost surely, 2^{2201002120100} is an apocalyptic number.

2201002120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201002120100 is an abundant number, since it is smaller than the sum of its proper divisors (3318814589020).

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

2201002120100 is a wasteful number, since it uses less digits than its factorization.

2201002120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35329197 (or 35329190 counting only the distinct ones).

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

Adding to 2201002120100 its reverse (10212001022), we get a palindrome (2211214121122).

The spelling of 2201002120100 in words is "two trillion, two hundred one billion, two million, one hundred twenty thousand, one hundred".