1001201516200 has 48 divisors (see below), whose sum is σ = 2331482873760. Its totient is φ = 399845880000.

The previous prime is 1001201516191. The next prime is 1001201516233. The reversal of 1001201516200 is 26151021001.

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 11 ways as a sum of consecutive naturals, for example, 3840526 + ... + 4092925.

It is an arithmetic number, because the mean of its divisors is an integer number (48572559870).

Almost surely, 2^{1001201516200} is an apocalyptic number.

1001201516200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001201516200 is an abundant number, since it is smaller than the sum of its proper divisors (1330281357560).

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

1001201516200 is a wasteful number, since it uses less digits than its factorization.

1001201516200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7934098 (or 7934089 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 1001201516200 its reverse (26151021001), we get a palindrome (1027352537201).

The spelling of 1001201516200 in words is "one trillion, one billion, two hundred one million, five hundred sixteen thousand, two hundred".