2201002011000 has 512 divisors, whose sum is σ = 8292604320000. Its totient is φ = 536805273600.

The previous prime is 2201002010887. The next prime is 2201002011017. The reversal of 2201002011000 is 1102001022.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38230236 + ... + 38287764.

Almost surely, 2^{2201002011000} is an apocalyptic number.

2201002011000 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 2201002011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4146302160000).

2201002011000 is an abundant number, since it is smaller than the sum of its proper divisors (6091602309000).

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

2201002011000 is a wasteful number, since it uses less digits than its factorization.

2201002011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57681 (or 57661 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2201002011000 its reverse (1102001022), we get a palindrome (2202104012022).

The spelling of 2201002011000 in words is "two trillion, two hundred one billion, two million, eleven thousand".