10120012010101 has 6 divisors (see below), whose sum is σ = 11772258868950. Its totient is φ = 8674296008616.

The previous prime is 10120012010089. The next prime is 10120012010111. The reversal of 10120012010101 is 10101021002101.

It can be written as a sum of positive squares in only one way, i.e., 9546431472900 + 573580537201 = 3089730^2 + 757351^2 .

It is not a de Polignac number, because 10120012010101 - 2¹⁵ = 10120011977333 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 (10120012010111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 103265428626 + ... + 103265428723.

It is an arithmetic number, because the mean of its divisors is an integer number (1962043144825).

Almost surely, 2^{10120012010101} is an apocalyptic number.

It is an amenable number.

10120012010101 is a deficient number, since it is larger than the sum of its proper divisors (1652246858849).

10120012010101 is an equidigital number, since it uses as much as digits as its factorization.

10120012010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206530857363 (or 206530857356 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10120012010101 its reverse (10101021002101), we get a palindrome (20221033012202).

The spelling of 10120012010101 in words is "ten trillion, one hundred twenty billion, twelve million, ten thousand, one hundred one".