100122112120181 has 2 divisors, whose sum is σ = 100122112120182. Its totient is φ = 100122112120180.

The previous prime is 100122112120073. The next prime is 100122112120211. The reversal of 100122112120181 is 181021211221001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78068428181956 + 22053683938225 = 8835634^2 + 4696135^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122112120181 - 2⁴² = 95724065609077 is a prime.

It is a super-2 number, since 2×100122112120181² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100122112122181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061056060090 + 50061056060091.

It is an arithmetic number, because the mean of its divisors is an integer number (50061056060091).

Almost surely, 2^{100122112120181} is an apocalyptic number.

It is an amenable number.

100122112120181 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122112120181 is an equidigital number, since it uses as much as digits as its factorization.

100122112120181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 23.

Adding to 100122112120181 its reverse (181021211221001), we get a palindrome (281143323341182).

The spelling of 100122112120181 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twenty thousand, one hundred eighty-one".