201101120112000 has 128 divisors (see below), whose sum is σ = 666650213330400. Its totient is φ = 53626965350400.

The previous prime is 201101120111977. The next prime is 201101120112007. The reversal of 201101120112000 is 211021101102.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201101120112007) 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, 2094755335 + ... + 2094851334.

Almost surely, 2^{201101120112000} is an apocalyptic number.

201101120112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201101120112000 is an abundant number, since it is smaller than the sum of its proper divisors (465549093218400).

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

201101120112000 is an equidigital number, since it uses as much as digits as its factorization.

201101120112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4189606701 (or 4189606679 counting only the distinct ones).

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

Adding to 201101120112000 its reverse (211021101102), we get a palindrome (201312141213102).

The spelling of 201101120112000 in words is "two hundred one trillion, one hundred one billion, one hundred twenty million, one hundred twelve thousand".