201120011000 has 64 divisors (see below), whose sum is σ = 470941642080. Its totient is φ = 80393164800.

The previous prime is 201120010979. The next prime is 201120011047. The reversal of 201120011000 is 110021102.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1415192 + ... + 1550808.

Almost surely, 2^201120011000 is an apocalyptic number.

201120011000 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 201120011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235470821040).

201120011000 is an abundant number, since it is smaller than the sum of its proper divisors (269821631080).

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

201120011000 is a wasteful number, since it uses less digits than its factorization.

201120011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137121 (or 137107 counting only the distinct ones).

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

Adding to 201120011000 its reverse (110021102), we get a palindrome (201230032102).

The spelling of 201120011000 in words is "two hundred one billion, one hundred twenty million, eleven thousand".