201211021011000 has 2048 divisors, whose sum is σ = 868446134599680. Its totient is φ = 37430553600000.

The previous prime is 201211021010983. The next prime is 201211021011029. The reversal of 201211021011000 is 110120112102.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 36777738265 + ... + 36777743735.

It is an arithmetic number, because the mean of its divisors is an integer number (424045964160).

Almost surely, 2^{201211021011000} is an apocalyptic number.

201211021011000 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 201211021011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434223067299840).

201211021011000 is an abundant number, since it is smaller than the sum of its proper divisors (667235113588680).

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

201211021011000 is a wasteful number, since it uses less digits than its factorization.

201211021011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5894 (or 5880 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201211021011000 its reverse (110120112102), we get a palindrome (201321141123102).

The spelling of 201211021011000 in words is "two hundred one trillion, two hundred eleven billion, twenty-one million, eleven thousand".