10022002020 has 120 divisors (see below), whose sum is σ = 31465203000. Its totient is φ = 2670340608.

The previous prime is 10022002013. The next prime is 10022002021. The reversal of 10022002020 is 2020022001.

It can be written as a sum of positive squares in 4 ways, for example, as 1853819136 + 8168182884 = 43056^2 + 90378^2 .

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 = 10022001993 and 10022002011.

It is not an unprimeable number, because it can be changed into a prime (10022002021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3285456 + ... + 3288504.

It is an arithmetic number, because the mean of its divisors is an integer number (262210025).

Almost surely, 2^10022002020 is an apocalyptic number.

10022002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15732601500).

10022002020 is an abundant number, since it is smaller than the sum of its proper divisors (21443200980).

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

10022002020 is a wasteful number, since it uses less digits than its factorization.

10022002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5099 (or 5088 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 10022002020 its reverse (2020022001), we get a palindrome (12042024021).

The spelling of 10022002020 in words is "ten billion, twenty-two million, two thousand, twenty".