10000001101101 has 64 divisors (see below), whose sum is σ = 14946774220800. Its totient is φ = 5895763473600.

The previous prime is 10000001101043. The next prime is 10000001101169. The reversal of 10000001101101 is 10110110000001.

It is not a de Polignac number, because 10000001101101 - 2¹⁵ = 10000001068333 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10000001101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000001101301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 297434070 + ... + 297467688.

It is an arithmetic number, because the mean of its divisors is an integer number (233543347200).

Almost surely, 2^{10000001101101} is an apocalyptic number.

10000001101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000001101101 is a deficient number, since it is larger than the sum of its proper divisors (4946773119699).

10000001101101 is a wasteful number, since it uses less digits than its factorization.

10000001101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35390.

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

Adding to 10000001101101 its reverse (10110110000001), we get a palindrome (20110111101102).

It can be divided in two parts, 10000001 and 101101, that multiplied together give a palindrome (1011010101101).

The spelling of 10000001101101 in words is "ten trillion, one million, one hundred one thousand, one hundred one".