10020121101013 has 24 divisors (see below), whose sum is σ = 10266043946400. Its totient is φ = 9779960553888.

The previous prime is 10020121100989. The next prime is 10020121101037. The reversal of 10020121101013 is 31010112102001.

It is a happy number.

10020121101013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10020121100989) and next prime (10020121101037).

It is not a de Polignac number, because 10020121101013 - 2³³ = 10011531166421 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10020121100984 and 10020121101002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020121101413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1320344223 + ... + 1320351811.

It is an arithmetic number, because the mean of its divisors is an integer number (427751831100).

Almost surely, 2^{10020121101013} is an apocalyptic number.

It is an amenable number.

10020121101013 is a deficient number, since it is larger than the sum of its proper divisors (245922845387).

10020121101013 is an frugal number, since it uses more digits than its factorization.

10020121101013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9249 (or 9202 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10020121101013 its reverse (31010112102001), we get a palindrome (41030233203014).

The spelling of 10020121101013 in words is "ten trillion, twenty billion, one hundred twenty-one million, one hundred one thousand, thirteen".