10121211111101 has 4 divisors (see below), whose sum is σ = 10221421122204. Its totient is φ = 10021001100000.

The previous prime is 10121211111071. The next prime is 10121211111119. The reversal of 10121211111101 is 10111111212101.

10121211111101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 6445881187876 + 3675329923225 = 2538874^2 + 1917115^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121211111101 - 2³⁴ = 10104031241917 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 (10121211111601) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50105005400 + ... + 50105005601.

It is an arithmetic number, because the mean of its divisors is an integer number (2555355280551).

Almost surely, 2^{10121211111101} is an apocalyptic number.

It is an amenable number.

10121211111101 is a deficient number, since it is larger than the sum of its proper divisors (100210011103).

10121211111101 is a wasteful number, since it uses less digits than its factorization.

10121211111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100210011102.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 10121211111101 its reverse (10111111212101), we get a palindrome (20232322323202).

The spelling of 10121211111101 in words is "ten trillion, one hundred twenty-one billion, two hundred eleven million, one hundred eleven thousand, one hundred one".