201121011000 has 768 divisors, whose sum is σ = 859405397760. Its totient is φ = 41281228800.

The previous prime is 201121010989. The next prime is 201121011023. The reversal of 201121011000 is 110121102.

It is a happy number.

It is a super-2 number, since 2×201121011000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30299682 + ... + 30306318.

It is an arithmetic number, because the mean of its divisors is an integer number (1119017445).

Almost surely, 2^201121011000 is an apocalyptic number.

201121011000 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 201121011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429702698880).

201121011000 is an abundant number, since it is smaller than the sum of its proper divisors (658284386760).

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

201121011000 is a wasteful number, since it uses less digits than its factorization.

201121011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6721 (or 6704 counting only the distinct ones).

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

Adding to 201121011000 its reverse (110121102), we get a palindrome (201231132102).

The spelling of 201121011000 in words is "two hundred one billion, one hundred twenty-one million, eleven thousand".