100221010101121 has 24 divisors (see below), whose sum is σ = 125773531622784. Its totient is φ = 78178902721920.

The previous prime is 100221010101077. The next prime is 100221010101143. The reversal of 100221010101121 is 121101010122001.

It is a happy number.

It is not a de Polignac number, because 100221010101121 - 2¹⁷ = 100221009970049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100221010101161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 596519356 + ... + 596687341.

It is an arithmetic number, because the mean of its divisors is an integer number (5240563817616).

Almost surely, 2^{100221010101121} is an apocalyptic number.

It is an amenable number.

100221010101121 is a deficient number, since it is larger than the sum of its proper divisors (25552521521663).

100221010101121 is a wasteful number, since it uses less digits than its factorization.

100221010101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193206801 (or 1193206788 counting only the distinct ones).

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

Adding to 100221010101121 its reverse (121101010122001), we get a palindrome (221322020223122).

The spelling of 100221010101121 in words is "one hundred trillion, two hundred twenty-one billion, ten million, one hundred one thousand, one hundred twenty-one".