10010121010101 has 12 divisors (see below), whose sum is σ = 15309596839212. Its totient is φ = 6280860241536.

The previous prime is 10010121010093. The next prime is 10010121010133. The reversal of 10010121010101 is 10101012101001.

It can be written as a sum of positive squares in 2 ways, for example, as 6676027607601 + 3334093402500 = 2583801^2 + 1825950^2 .

It is not a de Polignac number, because 10010121010101 - 2³ = 10010121010093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010121018101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32712813606 + ... + 32712813911.

It is an arithmetic number, because the mean of its divisors is an integer number (1275799736601).

Almost surely, 2^{10010121010101} is an apocalyptic number.

It is an amenable number.

10010121010101 is a deficient number, since it is larger than the sum of its proper divisors (5299475829111).

10010121010101 is a wasteful number, since it uses less digits than its factorization.

10010121010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65425627540 (or 65425627537 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10010121010101 its reverse (10101012101001), we get a palindrome (20111133111102).

The spelling of 10010121010101 in words is "ten trillion, ten billion, one hundred twenty-one million, ten thousand, one hundred one".