10001100121101 has 12 divisors (see below), whose sum is σ = 14836466846812. Its totient is φ = 6487200078336.

The previous prime is 10001100121099. The next prime is 10001100121139. The reversal of 10001100121101 is 10112100110001.

It can be written as a sum of positive squares in 2 ways, for example, as 4038351489225 + 5962748631876 = 2009565^2 + 2441874^2 .

It is not a de Polignac number, because 10001100121101 - 2¹ = 10001100121099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001100121141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15016666516 + ... + 15016667181.

Almost surely, 2^{10001100121101} is an apocalyptic number.

It is an amenable number.

10001100121101 is a deficient number, since it is larger than the sum of its proper divisors (4835366725711).

10001100121101 is a wasteful number, since it uses less digits than its factorization.

10001100121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30033333740 (or 30033333737 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10001100121101 its reverse (10112100110001), we get a palindrome (20113200231102).

The spelling of 10001100121101 in words is "ten trillion, one billion, one hundred million, one hundred twenty-one thousand, one hundred one".