10011102112121 has 8 divisors (see below), whose sum is σ = 10921464072288. Its totient is φ = 9100783780000.

The previous prime is 10011102112057. The next prime is 10011102112243. The reversal of 10011102112121 is 12121120111001.

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

It is not a de Polignac number, because 10011102112121 - 2⁶ = 10011102112057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10011102112096 and 10011102112105.

It is not an unprimeable number, because it can be changed into a prime (10011102112421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10426295 + ... + 11345916.

It is an arithmetic number, because the mean of its divisors is an integer number (1365183009036).

Almost surely, 2^{10011102112121} is an apocalyptic number.

10011102112121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011102112121 is a deficient number, since it is larger than the sum of its proper divisors (910361960167).

10011102112121 is a wasteful number, since it uses less digits than its factorization.

10011102112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21814023.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10011102112121 its reverse (12121120111001), we get a palindrome (22132222223122).

The spelling of 10011102112121 in words is "ten trillion, eleven billion, one hundred two million, one hundred twelve thousand, one hundred twenty-one".