100111100953 has 2 divisors, whose sum is σ = 100111100954. Its totient is φ = 100111100952.

The previous prime is 100111100951. The next prime is 100111101001. The reversal of 100111100953 is 359001111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96253821504 + 3857279449 = 310248^2 + 62107^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111100953 - 2¹ = 100111100951 is a prime.

Together with 100111100951, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100111100951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055550476 + 50055550477.

It is an arithmetic number, because the mean of its divisors is an integer number (50055550477).

Almost surely, 2^100111100953 is an apocalyptic number.

It is an amenable number.

100111100953 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111100953 is an equidigital number, since it uses as much as digits as its factorization.

100111100953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 135, while the sum is 22.

Adding to 100111100953 its reverse (359001111001), we get a palindrome (459112211954).

The spelling of 100111100953 in words is "one hundred billion, one hundred eleven million, one hundred thousand, nine hundred fifty-three".