201201111111000 has 768 divisors, whose sum is σ = 847480952448000. Its totient is φ = 38592013824000.

The previous prime is 201201111110977. The next prime is 201201111111061. The reversal of 201201111111000 is 111111102102.

It is a super-2 number, since 2×201201111111000² (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 191 ways as a sum of consecutive naturals, for example, 36462076 + ... + 41615924.

It is an arithmetic number, because the mean of its divisors is an integer number (1103490823500).

Almost surely, 2^{201201111111000} is an apocalyptic number.

201201111111000 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 201201111111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423740476224000).

201201111111000 is an abundant number, since it is smaller than the sum of its proper divisors (646279841337000).

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

201201111111000 is a wasteful number, since it uses less digits than its factorization.

201201111111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5153917 (or 5153890 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 201201111111000 its reverse (111111102102), we get a palindrome (201312222213102).

The spelling of 201201111111000 in words is "two hundred one trillion, two hundred one billion, one hundred eleven million, one hundred eleven thousand".