201101211000 has 640 divisors, whose sum is σ = 748617629760. Its totient is φ = 50388480000.

The previous prime is 201101210977. The next prime is 201101211023. The reversal of 201101211000 is 112101102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (201101210977) and next prime (201101211023).

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 334610700 + ... + 334611300.

Almost surely, 2^201101211000 is an apocalyptic number.

201101211000 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 201101211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374308814880).

201101211000 is an abundant number, since it is smaller than the sum of its proper divisors (547516418760).

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

201101211000 is an frugal number, since it uses more digits than its factorization.

201101211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201101211000 its reverse (112101102), we get a palindrome (201213312102).

The spelling of 201101211000 in words is "two hundred one billion, one hundred one million, two hundred eleven thousand".