201014771801000 has 256 divisors, whose sum is σ = 492737597314560. Its totient is φ = 76610605209600.

The previous prime is 201014771800991. The next prime is 201014771801009. The reversal of 201014771801000 is 108177410102.

201014771801000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201014771800991) and next prime (201014771801009).

It is not an unprimeable number, because it can be changed into a prime (201014771801009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34087630052 + ... + 34087635948.

It is an arithmetic number, because the mean of its divisors is an integer number (1924756239510).

Almost surely, 2^{201014771801000} is an apocalyptic number.

201014771801000 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 201014771801000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246368798657280).

201014771801000 is an abundant number, since it is smaller than the sum of its proper divisors (291722825513560).

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

201014771801000 is a wasteful number, since it uses less digits than its factorization.

201014771801000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11461 (or 11447 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 32.

The spelling of 201014771801000 in words is "two hundred one trillion, fourteen billion, seven hundred seventy-one million, eight hundred one thousand".