201131021000 has 256 divisors, whose sum is σ = 604448732160. Its totient is φ = 60886425600.

The previous prime is 201131020999. The next prime is 201131021053. The reversal of 201131021000 is 120131102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2044952 + ... + 2141048.

It is an arithmetic number, because the mean of its divisors is an integer number (2361127860).

Almost surely, 2^201131021000 is an apocalyptic number.

201131021000 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 201131021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302224366080).

201131021000 is an abundant number, since it is smaller than the sum of its proper divisors (403317711160).

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

201131021000 is a wasteful number, since it uses less digits than its factorization.

201131021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96161 (or 96147 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 201131021000 its reverse (120131102), we get a palindrome (201251152102).

The spelling of 201131021000 in words is "two hundred one billion, one hundred thirty-one million, twenty-one thousand".