100022133231101 has 2 divisors, whose sum is σ = 100022133231102. Its totient is φ = 100022133231100.

The previous prime is 100022133231077. The next prime is 100022133231121. The reversal of 100022133231101 is 101132331220001.

It is a happy number.

It is an a-pointer prime, because the next prime (100022133231121) can be obtained adding 100022133231101 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91791230439076 + 8230902792025 = 9580774^2 + 2868955^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100022133231101 is a prime.

It is a super-2 number, since 2×100022133231101² (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 (100022133231121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011066615550 + 50011066615551.

It is an arithmetic number, because the mean of its divisors is an integer number (50011066615551).

Almost surely, 2^{100022133231101} is an apocalyptic number.

It is an amenable number.

100022133231101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022133231101 is an equidigital number, since it uses as much as digits as its factorization.

100022133231101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 100022133231101 its reverse (101132331220001), we get a palindrome (201154464451102).

The spelling of 100022133231101 in words is "one hundred trillion, twenty-two billion, one hundred thirty-three million, two hundred thirty-one thousand, one hundred one".