100222210021121 has 8 divisors (see below), whose sum is σ = 100230736737000. Its totient is φ = 100213683672960.

The previous prime is 100222210021117. The next prime is 100222210021151. The reversal of 100222210021121 is 121120012222001.

It can be written as a sum of positive squares in 4 ways, for example, as 30898608400 + 100191311412721 = 175780^2 + 10009561^2 .

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 100222210021121 - 2² = 100222210021117 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100222210021121.

It is not an unprimeable number, because it can be changed into a prime (100222210021111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 838276055 + ... + 838395603.

It is an arithmetic number, because the mean of its divisors is an integer number (12528842092125).

Almost surely, 2^{100222210021121} is an apocalyptic number.

It is an amenable number.

100222210021121 is a deficient number, since it is larger than the sum of its proper divisors (8526715879).

100222210021121 is a wasteful number, since it uses less digits than its factorization.

100222210021121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183859.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100222210021121 its reverse (121120012222001), we get a palindrome (221342222243122).

The spelling of 100222210021121 in words is "one hundred trillion, two hundred twenty-two billion, two hundred ten million, twenty-one thousand, one hundred twenty-one".