201211010000 has 400 divisors, whose sum is σ = 654110717568. Its totient is φ = 57888000000.

The previous prime is 201211009931. The next prime is 201211010081. The reversal of 201211010000 is 10112102.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 201211010000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9999950 + ... + 10020050.

Almost surely, 2^201211010000 is an apocalyptic number.

201211010000 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 201211010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327055358784).

201211010000 is an abundant number, since it is smaller than the sum of its proper divisors (452899707568).

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

201211010000 is a wasteful number, since it uses less digits than its factorization.

201211010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20160 (or 20139 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 201211010000 its reverse (10112102), we get a palindrome (201221122102).

The spelling of 201211010000 in words is "two hundred one billion, two hundred eleven million, ten thousand".