10001201100 has 72 divisors (see below), whose sum is σ = 31567437888. Its totient is φ = 2424532800.

The previous prime is 10001201011. The next prime is 10001201123. The reversal of 10001201100 is 110210001.

10001201100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 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, 1512034 + ... + 1518633.

Almost surely, 2^10001201100 is an apocalyptic number.

10001201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001201100 is an abundant number, since it is smaller than the sum of its proper divisors (21566236788).

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

10001201100 is a wasteful number, since it uses less digits than its factorization.

10001201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030695 (or 3030688 counting only the distinct ones).

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

Adding to 10001201100 its reverse (110210001), we get a palindrome (10111411101).

The spelling of 10001201100 in words is "ten billion, one million, two hundred one thousand, one hundred".