10020121000020 has 36 divisors (see below), whose sum is σ = 30394367033940. Its totient is φ = 2672032266624.

The previous prime is 10020120999953. The next prime is 10020121000027. The reversal of 10020121000020 is 2000012102001.

It can be written as a sum of positive squares in 2 ways, for example, as 7957341407376 + 2062779592644 = 2820876^2 + 1436238^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10020120999966 and 10020121000011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020121000027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27833669265 + ... + 27833669624.

It is an arithmetic number, because the mean of its divisors is an integer number (844287973165).

Almost surely, 2^{10020121000020} is an apocalyptic number.

10020121000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020121000020 is an abundant number, since it is smaller than the sum of its proper divisors (20374246033920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10020121000020 is a wasteful number, since it uses less digits than its factorization.

10020121000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55667338904 (or 55667338899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10020121000020 its reverse (2000012102001), we get a palindrome (12020133102021).

The spelling of 10020121000020 in words is "ten trillion, twenty billion, one hundred twenty-one million, twenty", and thus it is an aban number.