10021220133130 has 64 divisors (see below), whose sum is σ = 18232217074080. Its totient is φ = 3965514448896.

The previous prime is 10021220133121. The next prime is 10021220133139. The reversal of 10021220133130 is 3133102212001.

It is an interprime number because it is at equal distance from previous prime (10021220133121) and next prime (10021220133139).

It can be written as a sum of positive squares in 16 ways, for example, as 477637178769 + 9543582954361 = 691113^2 + 3089269^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10021220133098 and 10021220133107.

It is not an unprimeable number, because it can be changed into a prime (10021220133139) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1498160826 + ... + 1498167514.

Almost surely, 2^{10021220133130} is an apocalyptic number.

10021220133130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10021220133130 is a deficient number, since it is larger than the sum of its proper divisors (8210996940950).

10021220133130 is a wasteful number, since it uses less digits than its factorization.

10021220133130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9115.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10021220133130 its reverse (3133102212001), we get a palindrome (13154322345131).

The spelling of 10021220133130 in words is "ten trillion, twenty-one billion, two hundred twenty million, one hundred thirty-three thousand, one hundred thirty".