201142100 has 36 divisors (see below), whose sum is σ = 438805248. Its totient is φ = 80028000.

The previous prime is 201142099. The next prime is 201142127. The reversal of 201142100 is 1241102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13835 + ... + 24365.

Almost surely, 2^201142100 is an apocalyptic number.

201142100 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 201142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219402624).

201142100 is an abundant number, since it is smaller than the sum of its proper divisors (237663148).

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

201142100 is a wasteful number, since it uses less digits than its factorization.

201142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10736 (or 10729 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 201142100 is about 14182.4574739359. The cubic root of 201142100 is about 585.9146089665.

Adding to 201142100 its reverse (1241102), we get a palindrome (202383202).

The spelling of 201142100 in words is "two hundred one million, one hundred forty-two thousand, one hundred".