10021020102113 has 4 divisors (see below), whose sum is σ = 10120238123028. Its totient is φ = 9921802081200.

The previous prime is 10021020102091. The next prime is 10021020102187. The reversal of 10021020102113 is 31120102012001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 7022245602304 + 2998774499809 = 2649952^2 + 1731697^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021020102113 - 2¹⁸ = 10021019839969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10021020102713) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49609010306 + ... + 49609010507.

It is an arithmetic number, because the mean of its divisors is an integer number (2530059530757).

Almost surely, 2^{10021020102113} is an apocalyptic number.

It is an amenable number.

10021020102113 is a deficient number, since it is larger than the sum of its proper divisors (99218020915).

10021020102113 is an equidigital number, since it uses as much as digits as its factorization.

10021020102113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99218020914.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10021020102113 its reverse (31120102012001), we get a palindrome (41141122114114).

The spelling of 10021020102113 in words is "ten trillion, twenty-one billion, twenty million, one hundred two thousand, one hundred thirteen".