100010202021013 has 16 divisors (see below), whose sum is σ = 104158629126000. Its totient is φ = 95908495979520.

The previous prime is 100010202021011. The next prime is 100010202021031. The reversal of 100010202021013 is 310120202010001.

It can be written as a sum of positive squares in 8 ways, for example, as 1870310613649 + 98139891407364 = 1367593^2 + 9906558^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010202021013 - 2¹ = 100010202021011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100010202020984 and 100010202021002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010202021011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83409295 + ... + 84599827.

It is an arithmetic number, because the mean of its divisors is an integer number (6509914320375).

Almost surely, 2^{100010202021013} is an apocalyptic number.

It is an amenable number.

100010202021013 is a deficient number, since it is larger than the sum of its proper divisors (4148427104987).

100010202021013 is a wasteful number, since it uses less digits than its factorization.

100010202021013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210152.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100010202021013 its reverse (310120202010001), we get a palindrome (410130404031014).

The spelling of 100010202021013 in words is "one hundred trillion, ten billion, two hundred two million, twenty-one thousand, thirteen".