100111201010221 has 4 divisors (see below), whose sum is σ = 100115115146172. Its totient is φ = 100107286874272.

The previous prime is 100111201010213. The next prime is 100111201010267. The reversal of 100111201010221 is 122010102111001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 9101776117225 + 91009424892996 = 3016915^2 + 9539886^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111201010221 - 2³ = 100111201010213 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 (100111201013221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1957029610 + ... + 1957080763.

It is an arithmetic number, because the mean of its divisors is an integer number (25028778786543).

Almost surely, 2^{100111201010221} is an apocalyptic number.

It is an amenable number.

100111201010221 is a deficient number, since it is larger than the sum of its proper divisors (3914135951).

100111201010221 is an equidigital number, since it uses as much as digits as its factorization.

100111201010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914135950.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100111201010221 its reverse (122010102111001), we get a palindrome (222121303121222).

The spelling of 100111201010221 in words is "one hundred trillion, one hundred eleven billion, two hundred one million, ten thousand, two hundred twenty-one".