10020221333100 has 216 divisors, whose sum is σ = 36278560242288. Its totient is φ = 2286253670400.

The previous prime is 10020221333077. The next prime is 10020221333107. The reversal of 10020221333100 is 133312202001.

10020221333100 is a `hidden beast` number, since 10 + 0 + 2 + 0 + 221 + 333 + 100 = 666.

It is a super-2 number, since 2×10020221333100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10020221333107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29600629 + ... + 29937228.

It is an arithmetic number, because the mean of its divisors is an integer number (167956297418).

Almost surely, 2^{10020221333100} is an apocalyptic number.

10020221333100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020221333100 is an abundant number, since it is smaller than the sum of its proper divisors (26258338909188).

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

10020221333100 is a wasteful number, since it uses less digits than its factorization.

10020221333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59537905 (or 59537895 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10020221333100 its reverse (133312202001), we get a palindrome (10153533535101).

The spelling of 10020221333100 in words is "ten trillion, twenty billion, two hundred twenty-one million, three hundred thirty-three thousand, one hundred".