10120010100221 has 16 divisors (see below), whose sum is σ = 11762220902400. Its totient is φ = 8526934712688.

The previous prime is 10120010100097. The next prime is 10120010100247. The reversal of 10120010100221 is 12200101002101.

It is not a de Polignac number, because 10120010100221 - 2¹⁴ = 10120010083837 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120010100271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10242200 + ... + 11186718.

It is an arithmetic number, because the mean of its divisors is an integer number (735138806400).

Almost surely, 2^{10120010100221} is an apocalyptic number.

It is an amenable number.

10120010100221 is a deficient number, since it is larger than the sum of its proper divisors (1642210802179).

10120010100221 is an equidigital number, since it uses as much as digits as its factorization.

10120010100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970528.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10120010100221 its reverse (12200101002101), we get a palindrome (22320111102322).

The spelling of 10120010100221 in words is "ten trillion, one hundred twenty billion, ten million, one hundred thousand, two hundred twenty-one".