10000001101100 has 18 divisors (see below), whose sum is σ = 21700002389604. Its totient is φ = 4000000440400.

The previous prime is 10000001101043. The next prime is 10000001101169. The reversal of 10000001101100 is 110110000001.

It is a Harshad number since it is a multiple of its sum of digits (5).

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 5 ways as a sum of consecutive naturals, for example, 50000005406 + ... + 50000005605.

Almost surely, 2^{10000001101100} is an apocalyptic number.

10000001101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000001101100 is an abundant number, since it is smaller than the sum of its proper divisors (11700001288504).

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

10000001101100 is a wasteful number, since it uses less digits than its factorization.

10000001101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100000011025 (or 100000011018 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10000001101100 its reverse (110110000001), we get a palindrome (10110111101101).

The spelling of 10000001101100 in words is "ten trillion, one million, one hundred one thousand, one hundred".