201102211002000 has 640 divisors, whose sum is σ = 808442666643456. Its totient is φ = 41782003200000.

The previous prime is 201102211001983. The next prime is 201102211002023. The reversal of 201102211002000 is 200112201102.

201102211002000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4200018060 + ... + 4200065940.

Almost surely, 2^{201102211002000} is an apocalyptic number.

201102211002000 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 201102211002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404221333321728).

201102211002000 is an abundant number, since it is smaller than the sum of its proper divisors (607340455641456).

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

201102211002000 is a wasteful number, since it uses less digits than its factorization.

201102211002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57016 (or 57000 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201102211002000 its reverse (200112201102), we get a palindrome (201302323203102).

The spelling of 201102211002000 in words is "two hundred one trillion, one hundred two billion, two hundred eleven million, two thousand".