1010321311200 has 144 divisors (see below), whose sum is σ = 3368805851376. Its totient is φ = 262847795200.

The previous prime is 1010321311189. The next prime is 1010321311211. The reversal of 1010321311200 is 21131230101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1010321311189) and next prime (1010321311211).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1010321311200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5035347 + ... + 5232146.

It is an arithmetic number, because the mean of its divisors is an integer number (23394485079).

Almost surely, 2^{1010321311200} is an apocalyptic number.

1010321311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010321311200 is an abundant number, since it is smaller than the sum of its proper divisors (2358484540176).

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

1010321311200 is a wasteful number, since it uses less digits than its factorization.

1010321311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10267557 (or 10267544 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1010321311200 its reverse (21131230101), we get a palindrome (1031452541301).

The spelling of 1010321311200 in words is "one trillion, ten billion, three hundred twenty-one million, three hundred eleven thousand, two hundred".