10001000001100 has 72 divisors (see below), whose sum is σ = 21718699445520. Its totient is φ = 3997354394880.

The previous prime is 10001000001089. The next prime is 10001000001101. The reversal of 10001000001100 is 110000010001.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 10001000001100.

It is not an unprimeable number, because it can be changed into a prime (10001000001101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1119552234 + ... + 1119561166.

It is an arithmetic number, because the mean of its divisors is an integer number (301648603410).

Almost surely, 2^{10001000001100} is an apocalyptic number.

10001000001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001000001100 is an abundant number, since it is smaller than the sum of its proper divisors (11717699444420).

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

10001000001100 is a wasteful number, since it uses less digits than its factorization.

10001000001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16219 (or 16212 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10001000001100 its reverse (110000010001), we get a palindrome (10111000011101).

The spelling of 10001000001100 in words is "ten trillion, one billion, one thousand, one hundred".