201002211011000 has 256 divisors, whose sum is σ = 549133749216000. Its totient is φ = 68836360320000.

The previous prime is 201002211010897. The next prime is 201002211011033. The reversal of 201002211011000 is 110112200102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 300476900 + ... + 301145100.

It is an arithmetic number, because the mean of its divisors is an integer number (2145053707875).

Almost surely, 2^{201002211011000} is an apocalyptic number.

201002211011000 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 201002211011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274566874608000).

201002211011000 is an abundant number, since it is smaller than the sum of its proper divisors (348131538205000).

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

201002211011000 is an equidigital number, since it uses as much as digits as its factorization.

201002211011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669120 (or 669092 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 201002211011000 its reverse (110112200102), we get a palindrome (201112323211102).

The spelling of 201002211011000 in words is "two hundred one trillion, two billion, two hundred eleven million, eleven thousand".