10201331032200 has 1152 divisors, whose sum is σ = 43694196249600. Its totient is φ = 2071496448000.

The previous prime is 10201331032157. The next prime is 10201331032237. The reversal of 10201331032200 is 223013310201.

10201331032200 is a `hidden beast` number, since 1 + 0 + 20 + 13 + 310 + 322 + 0 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1414686595 + ... + 1414693805.

It is an arithmetic number, because the mean of its divisors is an integer number (37928989800).

Almost surely, 2^{10201331032200} is an apocalyptic number.

10201331032200 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 10201331032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21847098124800).

10201331032200 is an abundant number, since it is smaller than the sum of its proper divisors (33492865217400).

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

10201331032200 is a wasteful number, since it uses less digits than its factorization.

10201331032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7483 (or 7471 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10201331032200 its reverse (223013310201), we get a palindrome (10424344342401).

The spelling of 10201331032200 in words is "ten trillion, two hundred one billion, three hundred thirty-one million, thirty-two thousand, two hundred".