10011102121 has 8 divisors (see below), whose sum is σ = 10031286240. Its totient is φ = 9990939168.

The previous prime is 10011102113. The next prime is 10011102133. The reversal of 10011102121 is 12120111001.

10011102121 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10011102121 - 2³ = 10011102113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10011102098 and 10011102107.

It is not an unprimeable number, because it can be changed into a prime (10011102161) 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 7 ways as a sum of consecutive naturals, for example, 1202445 + ... + 1210741.

It is an arithmetic number, because the mean of its divisors is an integer number (1253910780).

Almost surely, 2^10011102121 is an apocalyptic number.

It is an amenable number.

10011102121 is a deficient number, since it is larger than the sum of its proper divisors (20184119).

10011102121 is an equidigital number, since it uses as much as digits as its factorization.

10011102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10583.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10011102121 its reverse (12120111001), we get a palindrome (22131213122).

The spelling of 10011102121 in words is "ten billion, eleven million, one hundred two thousand, one hundred twenty-one".