10000000001101 has 16 divisors (see below), whose sum is σ = 11101201886016. Its totient is φ = 8932190800000.

The previous prime is 10000000001093. The next prime is 10000000001141. The reversal of 10000000001101 is 10110000000001.

It is a cyclic number.

It is not a de Polignac number, because 10000000001101 - 2³ = 10000000001093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000000001141) 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 15 ways as a sum of consecutive naturals, for example, 34209040 + ... + 34500121.

It is an arithmetic number, because the mean of its divisors is an integer number (693825117876).

Almost surely, 2^{10000000001101} is an apocalyptic number.

10000000001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000000001101 is a deficient number, since it is larger than the sum of its proper divisors (1101201884915).

10000000001101 is a wasteful number, since it uses less digits than its factorization.

10000000001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68709404.

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

Adding to 10000000001101 its reverse (10110000000001), we get a palindrome (20110000001102).

It can be divided in two parts, 10000000001 and 101, that multiplied together give a palindrome (1010000000101).

The spelling of 10000000001101 in words is "ten trillion, one thousand, one hundred one".