100222101010121 has 16 divisors (see below), whose sum is σ = 102385102715280. Its totient is φ = 98075902740480.

The previous prime is 100222101010061. The next prime is 100222101010223. The reversal of 100222101010121 is 121010101222001.

It can be written as a sum of positive squares in 8 ways, for example, as 10244070804496 + 89978030205625 = 3200636^2 + 9485675^2 .

It is a cyclic number.

It is not a de Polignac number, because 100222101010121 - 2⁴⁶ = 29853356832457 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100222101010096 and 100222101010105.

It is not an unprimeable number, because it can be changed into a prime (100222101010321) 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, 509530625 + ... + 509727281.

It is an arithmetic number, because the mean of its divisors is an integer number (6399068919705).

Almost surely, 2^{100222101010121} is an apocalyptic number.

It is an amenable number.

100222101010121 is a deficient number, since it is larger than the sum of its proper divisors (2163001705159).

100222101010121 is a wasteful number, since it uses less digits than its factorization.

100222101010121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239324.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100222101010121 its reverse (121010101222001), we get a palindrome (221232202232122).

The spelling of 100222101010121 in words is "one hundred trillion, two hundred twenty-two billion, one hundred one million, ten thousand, one hundred twenty-one".