100100010108961 has 2 divisors, whose sum is σ = 100100010108962. Its totient is φ = 100100010108960.

The previous prime is 100100010108953. The next prime is 100100010108997. The reversal of 100100010108961 is 169801010001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84711407054400 + 15388603054561 = 9203880^2 + 3922831^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100010108961 - 2³ = 100100010108953 is a prime.

It is not a weakly prime, because it can be changed into another prime (100100010106961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050005054480 + 50050005054481.

It is an arithmetic number, because the mean of its divisors is an integer number (50050005054481).

Almost surely, 2^{100100010108961} is an apocalyptic number.

It is an amenable number.

100100010108961 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100010108961 is an equidigital number, since it uses as much as digits as its factorization.

100100010108961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 28.

Adding to 100100010108961 its reverse (169801010001001), we get a palindrome (269901020109962).

The spelling of 100100010108961 in words is "one hundred trillion, one hundred billion, ten million, one hundred eight thousand, nine hundred sixty-one".