10120020001021 has 12 divisors (see below), whose sum is σ = 11789657077788. Its totient is φ = 8661489974592.

The previous prime is 10120020001019. The next prime is 10120020001033. The reversal of 10120020001021 is 12010002002101.

It can be written as a sum of positive squares in 2 ways, for example, as 6181140716100 + 3938879284921 = 2486190^2 + 1984661^2 .

It is not a de Polignac number, because 10120020001021 - 2¹ = 10120020001019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10120020000989 and 10120020001007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120020091021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152500816 + ... + 152567161.

It is an arithmetic number, because the mean of its divisors is an integer number (982471423149).

Almost surely, 2^{10120020001021} is an apocalyptic number.

It is an amenable number.

10120020001021 is a deficient number, since it is larger than the sum of its proper divisors (1669637076767).

10120020001021 is an equidigital number, since it uses as much as digits as its factorization.

10120020001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305068668 (or 305068661 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10120020001021 its reverse (12010002002101), we get a palindrome (22130022003122).

The spelling of 10120020001021 in words is "ten trillion, one hundred twenty billion, twenty million, one thousand, twenty-one".