10100020100221 has 8 divisors (see below), whose sum is σ = 10234737526400. Its totient is φ = 9965474400960.

The previous prime is 10100020100189. The next prime is 10100020100267. The reversal of 10100020100221 is 12200102000101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10100020100221 - 2⁵ = 10100020100189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100020100198 and 10100020100207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100020106221) 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 7 ways as a sum of consecutive naturals, for example, 42813315 + ... + 43048576.

It is an arithmetic number, because the mean of its divisors is an integer number (1279342190800).

Almost surely, 2^{10100020100221} is an apocalyptic number.

It is an amenable number.

10100020100221 is a deficient number, since it is larger than the sum of its proper divisors (134717426179).

10100020100221 is an equidigital number, since it uses as much as digits as its factorization.

10100020100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85863459.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10100020100221 its reverse (12200102000101), we get a palindrome (22300122100322).

The spelling of 10100020100221 in words is "ten trillion, one hundred billion, twenty million, one hundred thousand, two hundred twenty-one".