10001100010000 has 400 divisors, whose sum is σ = 26975171032128. Its totient is φ = 3560371200000.

The previous prime is 10001100009983. The next prime is 10001100010021. The reversal of 10001100010000 is 1000110001.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1100105455 + ... + 1100114545.

Almost surely, 2^{10001100010000} is an apocalyptic number.

10001100010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001100010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13487585516064).

10001100010000 is an abundant number, since it is smaller than the sum of its proper divisors (16974071022128).

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

10001100010000 is a wasteful number, since it uses less digits than its factorization.

10001100010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9340 (or 9319 counting only the distinct ones).

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

Adding to 10001100010000 its reverse (1000110001), we get a palindrome (10002100120001).

10001100010000 divided by its reverse (1000110001) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 10001 and 100010000, that multiplied together give a square (1000200010000 = 1000100²).

The spelling of 10001100010000 in words is "ten trillion, one billion, one hundred million, ten thousand".