10100021220224 has 32 divisors (see below), whose sum is σ = 21668915722440. Its totient is φ = 4661548254720.

The previous prime is 10100021220197. The next prime is 10100021220239. The reversal of 10100021220224 is 42202212000101.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×10100021220224³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 3034860482 + ... + 3034863809.

Almost surely, 2^{10100021220224} is an apocalyptic number.

It is an amenable number.

10100021220224 is an abundant number, since it is smaller than the sum of its proper divisors (11568894502216).

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

10100021220224 is an equidigital number, since it uses as much as digits as its factorization.

10100021220224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6069724318 (or 6069724306 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10100021220224 its reverse (42202212000101), we get a palindrome (52302233220325).

The spelling of 10100021220224 in words is "ten trillion, one hundred billion, twenty-one million, two hundred twenty thousand, two hundred twenty-four".