100120022022121 has 2 divisors, whose sum is σ = 100120022022122. Its totient is φ = 100120022022120.

The previous prime is 100120022022109. The next prime is 100120022022131. The reversal of 100120022022121 is 121220220021001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59623662516496 + 40496359505625 = 7721636^2 + 6363675^2 .

It is an emirp because it is prime and its reverse (121220220021001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100120022022121 - 2²⁵ = 100119988467689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100120022022095 and 100120022022104.

It is not a weakly prime, because it can be changed into another prime (100120022022131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060011011060 + 50060011011061.

It is an arithmetic number, because the mean of its divisors is an integer number (50060011011061).

Almost surely, 2^{100120022022121} is an apocalyptic number.

It is an amenable number.

100120022022121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100120022022121 is an equidigital number, since it uses as much as digits as its factorization.

100120022022121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100120022022121 its reverse (121220220021001), we get a palindrome (221340242043122).

The spelling of 100120022022121 in words is "one hundred trillion, one hundred twenty billion, twenty-two million, twenty-two thousand, one hundred twenty-one".