200231521102400 has 168 divisors, whose sum is σ = 514241158602240. Its totient is φ = 76591699824640.

The previous prime is 200231521102399. The next prime is 200231521102409. The reversal of 200231521102400 is 4201125132002.

It is a super-2 number, since 2×200231521102400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (200231521102409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151214396 + ... + 152532804.

Almost surely, 2^{200231521102400} is an apocalyptic number.

200231521102400 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 200231521102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257120579301120).

200231521102400 is an abundant number, since it is smaller than the sum of its proper divisors (314009637499840).

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

200231521102400 is a wasteful number, since it uses less digits than its factorization.

200231521102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322581 (or 1322566 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 200231521102400 its reverse (4201125132002), we get a palindrome (204432646234402).

The spelling of 200231521102400 in words is "two hundred trillion, two hundred thirty-one billion, five hundred twenty-one million, one hundred two thousand, four hundred".