10000020120101 has 12 divisors (see below), whose sum is σ = 11638331634636. Its totient is φ = 8556166945920.

The previous prime is 10000020120011. The next prime is 10000020120127. The reversal of 10000020120101 is 10102102000001.

It can be written as a sum of positive squares in 2 ways, for example, as 5288385523201 + 4711634596900 = 2299649^2 + 2170630^2 .

It is not a de Polignac number, because 10000020120101 - 2²² = 10000015925797 is a prime.

It is a super-3 number, since 3×10000020120101³ (a number of 40 digits) contains 333 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 (10000020120131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2430727190 + ... + 2430731303.

It is an arithmetic number, because the mean of its divisors is an integer number (969860969553).

Almost surely, 2^{10000020120101} is an apocalyptic number.

10000020120101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000020120101 is a deficient number, since it is larger than the sum of its proper divisors (1638311514535).

10000020120101 is a wasteful number, since it uses less digits than its factorization.

10000020120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4861458532 (or 4861458521 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10000020120101 its reverse (10102102000001), we get a palindrome (20102122120102).

The spelling of 10000020120101 in words is "ten trillion, twenty million, one hundred twenty thousand, one hundred one".