10201237200 has 1440 divisors, whose sum is σ = 48356904960. Its totient is φ = 2003097600.

The previous prime is 10201237103. The next prime is 10201237271. The reversal of 10201237200 is 273210201.

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 (11) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 217047577 + ... + 217047623.

It is an arithmetic number, because the mean of its divisors is an integer number (33581184).

Almost surely, 2^10201237200 is an apocalyptic number.

10201237200 is a gapful number since it is divisible by the number (10) 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 10201237200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24178452480).

10201237200 is an abundant number, since it is smaller than the sum of its proper divisors (38155667760).

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

10201237200 is a wasteful number, since it uses less digits than its factorization.

10201237200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 10201237200 its reverse (273210201), we get a palindrome (10474447401).

The spelling of 10201237200 in words is "ten billion, two hundred one million, two hundred thirty-seven thousand, two hundred".