100100122081 has 2 divisors, whose sum is σ = 100100122082. Its totient is φ = 100100122080.

The previous prime is 100100122021. The next prime is 100100122123. The reversal of 100100122081 is 180221001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99656387856 + 443734225 = 315684^2 + 21065^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100122081 - 2¹⁷ = 100099991009 is a prime.

It is a super-2 number, since 2×100100122081² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100100122021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050061040 + 50050061041.

It is an arithmetic number, because the mean of its divisors is an integer number (50050061041).

Almost surely, 2^100100122081 is an apocalyptic number.

It is an amenable number.

100100122081 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100122081 is an equidigital number, since it uses as much as digits as its factorization.

100100122081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100100122081 its reverse (180221001001), we get a palindrome (280321123082).

The spelling of 100100122081 in words is "one hundred billion, one hundred million, one hundred twenty-two thousand, eighty-one".