201144140100 has 216 divisors, whose sum is σ = 646288843200. Its totient is φ = 52297539840.

The previous prime is 201144140089. The next prime is 201144140123. The reversal of 201144140100 is 1041441102.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23176962 + ... + 23185638.

Almost surely, 2^201144140100 is an apocalyptic number.

201144140100 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 201144140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323144421600).

201144140100 is an abundant number, since it is smaller than the sum of its proper divisors (445144703100).

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

201144140100 is a wasteful number, since it uses less digits than its factorization.

201144140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9339 (or 9329 counting only the distinct ones).

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

Adding to 201144140100 its reverse (1041441102), we get a palindrome (202185581202).

The spelling of 201144140100 in words is "two hundred one billion, one hundred forty-four million, one hundred forty thousand, one hundred".