10001001001200 has 120 divisors (see below), whose sum is σ = 34948952635776. Its totient is φ = 2424485088000.

The previous prime is 10001001001139. The next prime is 10001001001217. The reversal of 10001001001200 is 210010010001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378812596 + ... + 378838995.

Almost surely, 2^{10001001001200} is an apocalyptic number.

10001001001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001001001200 is an abundant number, since it is smaller than the sum of its proper divisors (24947951634576).

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

10001001001200 is a wasteful number, since it uses less digits than its factorization.

10001001001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757651623 (or 757651612 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10001001001200 its reverse (210010010001), we get a palindrome (10211011011201).

The spelling of 10001001001200 in words is "ten trillion, one billion, one million, one thousand, two hundred".