100220001220121 has 2 divisors, whose sum is σ = 100220001220122. Its totient is φ = 100220001220120.

The previous prime is 100220001220093. The next prime is 100220001220151. The reversal of 100220001220121 is 121022100022001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98356806250000 + 1863194970121 = 9917500^2 + 1364989^2 .

It is an emirp because it is prime and its reverse (121022100022001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100220001220121 - 2⁶ = 100220001220057 is a prime.

It is a super-2 number, since 2×100220001220121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100220001220096 and 100220001220105.

It is not a weakly prime, because it can be changed into another prime (100220001220151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110000610060 + 50110000610061.

It is an arithmetic number, because the mean of its divisors is an integer number (50110000610061).

Almost surely, 2^{100220001220121} is an apocalyptic number.

It is an amenable number.

100220001220121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100220001220121 is an equidigital number, since it uses as much as digits as its factorization.

100220001220121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100220001220121 its reverse (121022100022001), we get a palindrome (221242101242122).

The spelling of 100220001220121 in words is "one hundred trillion, two hundred twenty billion, one million, two hundred twenty thousand, one hundred twenty-one".