100222112102121 has 12 divisors (see below), whose sum is σ = 144765501922548. Its totient is φ = 66814635761664.

The previous prime is 100222112102081. The next prime is 100222112102131. The reversal of 100222112102121 is 121201211222001.

100222112102121 is a `hidden beast` number, since 10 + 0 + 22 + 211 + 210 + 212 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80657732331225 + 19564379770896 = 8980965^2 + 4423164^2 .

It is not a de Polignac number, because 100222112102121 - 2¹⁵ = 100222112069353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100222112102094 and 100222112102103.

It is not an unprimeable number, because it can be changed into a prime (100222112102131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2561880 + ... + 14387753.

It is an arithmetic number, because the mean of its divisors is an integer number (12063791826879).

Almost surely, 2^{100222112102121} is an apocalyptic number.

It is an amenable number.

100222112102121 is a deficient number, since it is larger than the sum of its proper divisors (44543389820427).

100222112102121 is a wasteful number, since it uses less digits than its factorization.

100222112102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17606632 (or 17606629 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100222112102121 its reverse (121201211222001), we get a palindrome (221423323324122).

The spelling of 100222112102121 in words is "one hundred trillion, two hundred twenty-two billion, one hundred twelve million, one hundred two thousand, one hundred twenty-one".