10121066101 has 8 divisors (see below), whose sum is σ = 10183785560. Its totient is φ = 10058452992.

The previous prime is 10121066063. The next prime is 10121066107. The reversal of 10121066101 is 10166012101.

It can be written as a sum of positive squares in 4 ways, for example, as 10562500 + 10110503601 = 3250^2 + 100551^2 .

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 10121066101 - 2⁹ = 10121065589 is a prime.

It is a super-2 number, since 2×10121066101² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121066107) 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, 168751 + ... + 220723.

It is an arithmetic number, because the mean of its divisors is an integer number (1272973195).

Almost surely, 2^10121066101 is an apocalyptic number.

It is an amenable number.

10121066101 is a deficient number, since it is larger than the sum of its proper divisors (62719459).

10121066101 is a wasteful number, since it uses less digits than its factorization.

10121066101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53175.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 10121066101 its reverse (10166012101), we get a palindrome (20287078202).

The spelling of 10121066101 in words is "ten billion, one hundred twenty-one million, sixty-six thousand, one hundred one".