10001000011101 has 64 divisors (see below), whose sum is σ = 15300288267264. Its totient is φ = 5757142809600.

The previous prime is 10001000011091. The next prime is 10001000011111. The reversal of 10001000011101 is 10111000010001.

It is an interprime number because it is at equal distance from previous prime (10001000011091) and next prime (10001000011111).

It is not a de Polignac number, because 10001000011101 - 2¹⁷ = 10000999880029 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10001000011101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001000011111) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7909986 + ... + 9086796.

It is an arithmetic number, because the mean of its divisors is an integer number (239067004176).

Almost surely, 2^{10001000011101} is an apocalyptic number.

10001000011101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001000011101 is a deficient number, since it is larger than the sum of its proper divisors (5299288256163).

10001000011101 is a wasteful number, since it uses less digits than its factorization.

10001000011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177034.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10001000011101 its reverse (10111000010001), we get a palindrome (20112000021102).

The spelling of 10001000011101 in words is "ten trillion, one billion, eleven thousand, one hundred one".