201111122001000 has 64 divisors (see below), whose sum is σ = 627466700652480. Its totient is φ = 53629632532800.

The previous prime is 201111122000963. The next prime is 201111122001007. The reversal of 201111122001000 is 100221111102.

It is a super-2 number, since 2×201111122001000² (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 not an unprimeable number, because it can be changed into a prime (201111122001007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33518517334 + ... + 33518523333.

It is an arithmetic number, because the mean of its divisors is an integer number (9804167197695).

Almost surely, 2^{201111122001000} is an apocalyptic number.

201111122001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201111122001000 is an abundant number, since it is smaller than the sum of its proper divisors (426355578651480).

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

201111122001000 is a wasteful number, since it uses less digits than its factorization.

201111122001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67037040691 (or 67037040677 counting only the distinct ones).

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

Adding to 201111122001000 its reverse (100221111102), we get a palindrome (201211343112102).

The spelling of 201111122001000 in words is "two hundred one trillion, one hundred eleven billion, one hundred twenty-two million, one thousand".