201011122011000 has 256 divisors, whose sum is σ = 716771082193920. Its totient is φ = 45943934400000.

The previous prime is 201011122010983. The next prime is 201011122011079. The reversal of 201011122011000 is 110221110102.

201011122011000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201011122011000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 745176150 + ... + 745445850.

It is an arithmetic number, because the mean of its divisors is an integer number (2799887039820).

Almost surely, 2^{201011122011000} is an apocalyptic number.

201011122011000 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 201011122011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358385541096960).

201011122011000 is an abundant number, since it is smaller than the sum of its proper divisors (515759960182920).

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

201011122011000 is a wasteful number, since it uses less digits than its factorization.

201011122011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305223 (or 305209 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201011122011000 its reverse (110221110102), we get a palindrome (201121343121102).

The spelling of 201011122011000 in words is "two hundred one trillion, eleven billion, one hundred twenty-two million, eleven thousand".