10201321200 has 240 divisors, whose sum is σ = 37619536640. Its totient is φ = 2314690560.

The previous prime is 10201321183. The next prime is 10201321241. The reversal of 10201321200 is 212310201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×10201321200³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1163232 + ... + 1171968.

Almost surely, 2^10201321200 is an apocalyptic number.

10201321200 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 10201321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18809768320).

10201321200 is an abundant number, since it is smaller than the sum of its proper divisors (27418215440).

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

10201321200 is a wasteful number, since it uses less digits than its factorization.

10201321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8904 (or 8893 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10201321200 its reverse (212310201), we get a palindrome (10413631401).

The spelling of 10201321200 in words is "ten billion, two hundred one million, three hundred twenty-one thousand, two hundred".