100122022210121 has 2 divisors, whose sum is σ = 100122022210122. Its totient is φ = 100122022210120.

The previous prime is 100122022210117. The next prime is 100122022210127. The reversal of 100122022210121 is 121012220221001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71143556792896 + 28978465417225 = 8434664^2 + 5383165^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122022210121 - 2² = 100122022210117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100122022210121.

It is not a weakly prime, because it can be changed into another prime (100122022210127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061011105060 + 50061011105061.

It is an arithmetic number, because the mean of its divisors is an integer number (50061011105061).

Almost surely, 2^{100122022210121} is an apocalyptic number.

It is an amenable number.

100122022210121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122022210121 is an equidigital number, since it uses as much as digits as its factorization.

100122022210121 is an evil number, because the sum of its binary digits is even.

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

Adding to 100122022210121 its reverse (121012220221001), we get a palindrome (221134242431122).

The spelling of 100122022210121 in words is "one hundred trillion, one hundred twenty-two billion, twenty-two million, two hundred ten thousand, one hundred twenty-one".