201142143043100 has 144 divisors (see below), whose sum is σ = 512328005367360. Its totient is φ = 67097382912000.

The previous prime is 201142143043031. The next prime is 201142143043133. The reversal of 201142143043100 is 1340341241102.

201142143043100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201142143043100² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 201142143043100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1297538396 + ... + 1297693404.

Almost surely, 2^{201142143043100} is an apocalyptic number.

201142143043100 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 201142143043100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256164002683680).

201142143043100 is an abundant number, since it is smaller than the sum of its proper divisors (311185862324260).

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

201142143043100 is a wasteful number, since it uses less digits than its factorization.

201142143043100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205168 (or 205161 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 201142143043100 its reverse (1340341241102), we get a palindrome (202482484284202).

The spelling of 201142143043100 in words is "two hundred one trillion, one hundred forty-two billion, one hundred forty-three million, forty-three thousand, one hundred".