201014120142 has 96 divisors (see below), whose sum is σ = 495982206720. Its totient is φ = 58241420160.

The previous prime is 201014120129. The next prime is 201014120201. The reversal of 201014120142 is 241021410102.

201014120142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13513393 + ... + 13528259.

It is an arithmetic number, because the mean of its divisors is an integer number (5166481320).

Almost surely, 2^201014120142 is an apocalyptic number.

201014120142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201014120142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247991103360).

201014120142 is an abundant number, since it is smaller than the sum of its proper divisors (294968086578).

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

201014120142 is a wasteful number, since it uses less digits than its factorization.

201014120142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17878 (or 17875 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201014120142 its reverse (241021410102), we get a palindrome (442035530244).

The spelling of 201014120142 in words is "two hundred one billion, fourteen million, one hundred twenty thousand, one hundred forty-two".