2201101120000 has 200 divisors, whose sum is σ = 5511646255500. Its totient is φ = 877873152000.

The previous prime is 2201101119989. The next prime is 2201101120019. The reversal of 2201101120000 is 211011022.

It can be written as a sum of positive squares in 10 ways, for example, as 53446041856 + 2147655078144 = 231184^2 + 1465488^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×2201101120000² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 111670146 + ... + 111689854.

Almost surely, 2^{2201101120000} is an apocalyptic number.

2201101120000 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 2201101120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755823127750).

2201101120000 is an abundant number, since it is smaller than the sum of its proper divisors (3310545135500).

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

2201101120000 is an frugal number, since it uses more digits than its factorization.

2201101120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20096 (or 20065 counting only the distinct ones).

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

Adding to 2201101120000 its reverse (211011022), we get a palindrome (2201312131022).

The spelling of 2201101120000 in words is "two trillion, two hundred one billion, one hundred one million, one hundred twenty thousand".