100100010108953 has 2 divisors, whose sum is σ = 100100010108954. Its totient is φ = 100100010108952.

The previous prime is 100100010108947. The next prime is 100100010108961. The reversal of 100100010108953 is 359801010001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90032163606784 + 10067846502169 = 9488528^2 + 3172987^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100010108953 - 2¹⁶ = 100100010043417 is a prime.

It is not a weakly prime, because it can be changed into another prime (100100010128953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050005054476 + 50050005054477.

It is an arithmetic number, because the mean of its divisors is an integer number (50050005054477).

Almost surely, 2^{100100010108953} is an apocalyptic number.

It is an amenable number.

100100010108953 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100010108953 is an equidigital number, since it uses as much as digits as its factorization.

100100010108953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 29.

Adding to 100100010108953 its reverse (359801010001001), we get a palindrome (459901020109954).

The spelling of 100100010108953 in words is "one hundred trillion, one hundred billion, ten million, one hundred eight thousand, nine hundred fifty-three".