10111120002101 has 8 divisors (see below), whose sum is σ = 10129097153880. Its totient is φ = 10093143578368.

The previous prime is 10111120002091. The next prime is 10111120002163. The reversal of 10111120002101 is 10120002111101.

10111120002101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1275542101201 + 8835577900900 = 1129399^2 + 2972470^2 .

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 10111120002101 - 2²² = 10111115807797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111120002001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32972855 + ... + 33278091.

It is an arithmetic number, because the mean of its divisors is an integer number (1266137144235).

Almost surely, 2^{10111120002101} is an apocalyptic number.

It is an amenable number.

10111120002101 is a deficient number, since it is larger than the sum of its proper divisors (17977151779).

10111120002101 is an equidigital number, since it uses as much as digits as its factorization.

10111120002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364023.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10111120002101 its reverse (10120002111101), we get a palindrome (20231122113202).

The spelling of 10111120002101 in words is "ten trillion, one hundred eleven billion, one hundred twenty million, two thousand, one hundred one".