201103101111000 has 1024 divisors, whose sum is σ = 732866973696000. Its totient is φ = 45372026880000.

The previous prime is 201103101110999. The next prime is 201103101111037. The reversal of 201103101111000 is 111101301102.

It is a super-2 number, since 2×201103101111000² (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 255 ways as a sum of consecutive naturals, for example, 33081605961 + ... + 33081612039.

It is an arithmetic number, because the mean of its divisors is an integer number (715690404000).

Almost surely, 2^{201103101111000} is an apocalyptic number.

201103101111000 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 201103101111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366433486848000).

201103101111000 is an abundant number, since it is smaller than the sum of its proper divisors (531763872585000).

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

201103101111000 is a wasteful number, since it uses less digits than its factorization.

201103101111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6781 (or 6767 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 201103101111000 its reverse (111101301102), we get a palindrome (201214202412102).

The spelling of 201103101111000 in words is "two hundred one trillion, one hundred three billion, one hundred one million, one hundred eleven thousand".