100100224232101 has 2 divisors, whose sum is σ = 100100224232102. Its totient is φ = 100100224232100.

The previous prime is 100100224232093. The next prime is 100100224232111. The reversal of 100100224232101 is 101232422001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53131489048225 + 46968735183876 = 7289135^2 + 6853374^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100224232101 - 2³ = 100100224232093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100224232111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050112116050 + 50050112116051.

It is an arithmetic number, because the mean of its divisors is an integer number (50050112116051).

Almost surely, 2^{100100224232101} is an apocalyptic number.

It is an amenable number.

100100224232101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100224232101 is an equidigital number, since it uses as much as digits as its factorization.

100100224232101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 100100224232101 its reverse (101232422001001), we get a palindrome (201332646233102).

The spelling of 100100224232101 in words is "one hundred trillion, one hundred billion, two hundred twenty-four million, two hundred thirty-two thousand, one hundred one".