2201101201000 has 256 divisors, whose sum is σ = 5607561960000. Its totient is φ = 803835187200.

The previous prime is 2201101200997. The next prime is 2201101201007. The reversal of 2201101201000 is 1021011022.

2201101201000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 32 ways, for example, as 587555976484 + 1613545224516 = 766522^2 + 1270254^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2201101201007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1129348026 + ... + 1129349974.

Almost surely, 2^{2201101201000} is an apocalyptic number.

2201101201000 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 2201101201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803780980000).

2201101201000 is an abundant number, since it is smaller than the sum of its proper divisors (3406460759000).

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

2201101201000 is a wasteful number, since it uses less digits than its factorization.

2201101201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2201101201000 its reverse (1021011022), we get a palindrome (2202122212022).

The spelling of 2201101201000 in words is "two trillion, two hundred one billion, one hundred one million, two hundred one thousand".