10021100020 has 12 divisors (see below), whose sum is σ = 21044310084. Its totient is φ = 4008440000.

The previous prime is 10021100009. The next prime is 10021100081. The reversal of 10021100020 is 2000112001.

It can be written as a sum of positive squares in 2 ways, for example, as 1208396644 + 8812703376 = 34762^2 + 93876^2 .

It is a super-2 number, since 2×10021100020² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10021099976 and 10021100012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 250527481 + ... + 250527520.

It is an arithmetic number, because the mean of its divisors is an integer number (1753692507).

Almost surely, 2^10021100020 is an apocalyptic number.

10021100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021100020 is an abundant number, since it is smaller than the sum of its proper divisors (11023210064).

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

10021100020 is a wasteful number, since it uses less digits than its factorization.

10021100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501055010 (or 501055008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10021100020 its reverse (2000112001), we get a palindrome (12021212021).

The spelling of 10021100020 in words is "ten billion, twenty-one million, one hundred thousand, twenty".