10011022020 has 72 divisors (see below), whose sum is σ = 30382574040. Its totient is φ = 2668216320.

The previous prime is 10011022003. The next prime is 10011022037. The reversal of 10011022020 is 2022011001.

It is an interprime number because it is at equal distance from previous prime (10011022003) and next prime (10011022037).

It can be written as a sum of positive squares in 4 ways, for example, as 758121156 + 9252900864 = 27534^2 + 96192^2 .

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 = 10011021993 and 10011022011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358980 + ... + 385860.

It is an arithmetic number, because the mean of its divisors is an integer number (421980195).

Almost surely, 2^10011022020 is an apocalyptic number.

10011022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011022020 is an abundant number, since it is smaller than the sum of its proper divisors (20371552020).

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

10011022020 is a wasteful number, since it uses less digits than its factorization.

10011022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28965 (or 28960 counting only the distinct ones).

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

Adding to 10011022020 its reverse (2022011001), we get a palindrome (12033033021).

The spelling of 10011022020 in words is "ten billion, eleven million, twenty-two thousand, twenty".