10001000121101 has 32 divisors (see below), whose sum is σ = 11113523097600. Its totient is φ = 8924212946880.

The previous prime is 10001000121071. The next prime is 10001000121103. The reversal of 10001000121101 is 10112100010001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-10001000121101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001000121103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77099240 + ... + 77228846.

It is an arithmetic number, because the mean of its divisors is an integer number (347297596800).

Almost surely, 2^{10001000121101} is an apocalyptic number.

10001000121101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001000121101 is a deficient number, since it is larger than the sum of its proper divisors (1112522976499).

10001000121101 is a wasteful number, since it uses less digits than its factorization.

10001000121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130329.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10001000121101 its reverse (10112100010001), we get a palindrome (20113100131102).

It can be divided in two parts, 10001000 and 121101, that added together give a palindrome (10122101).

The spelling of 10001000121101 in words is "ten trillion, one billion, one hundred twenty-one thousand, one hundred one".