100222200101957 has 2 divisors, whose sum is σ = 100222200101958. Its totient is φ = 100222200101956.

The previous prime is 100222200101929. The next prime is 100222200102023. The reversal of 100222200101957 is 759101002222001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91850008313281 + 8372191788676 = 9583841^2 + 2893474^2 .

It is a cyclic number.

It is not a de Polignac number, because 100222200101957 - 2⁸ = 100222200101701 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100222200109957) 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, 50111100050978 + 50111100050979.

It is an arithmetic number, because the mean of its divisors is an integer number (50111100050979).

Almost surely, 2^{100222200101957} is an apocalyptic number.

It is an amenable number.

100222200101957 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222200101957 is an equidigital number, since it uses as much as digits as its factorization.

100222200101957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 32.

Adding to 100222200101957 its reverse (759101002222001), we get a palindrome (859323202323958).

The spelling of 100222200101957 in words is "one hundred trillion, two hundred twenty-two billion, two hundred million, one hundred one thousand, nine hundred fifty-seven".