10011121212101 has 8 divisors (see below), whose sum is σ = 10120261387800. Its totient is φ = 9902177510400.

The previous prime is 10011121212073. The next prime is 10011121212119. The reversal of 10011121212101 is 10121212111001.

10011121212101 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 965168704900 + 9045952507201 = 982430^2 + 3007649^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10011121212101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011121212181) 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, 49016036 + ... + 49219853.

It is an arithmetic number, because the mean of its divisors is an integer number (1265032673475).

Almost surely, 2^{10011121212101} is an apocalyptic number.

It is an amenable number.

10011121212101 is a deficient number, since it is larger than the sum of its proper divisors (109140175699).

10011121212101 is a wasteful number, since it uses less digits than its factorization.

10011121212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98236999.

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

Adding to 10011121212101 its reverse (10121212111001), we get a palindrome (20132333323102).

The spelling of 10011121212101 in words is "ten trillion, eleven billion, one hundred twenty-one million, two hundred twelve thousand, one hundred one".