100110961 has 2 divisors, whose sum is σ = 100110962. Its totient is φ = 100110960.

The previous prime is 100110949. The next prime is 100110991. The reversal of 100110961 is 169011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85211361 + 14899600 = 9231^2 + 3860^2 .It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 196011001 and 100110691.

It is a cyclic number.

It is not a de Polignac number, because 100110961 - 2⁷ = 100110833 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100110911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055480 + 50055481.

It is an arithmetic number, because the mean of its divisors is an integer number (50055481).

Almost surely, 2^100110961 is an apocalyptic number.

It is an amenable number.

100110961 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110961 is an equidigital number, since it uses as much as digits as its factorization.

100110961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 19.

The square root of 100110961 is about 10005.5465118103. The cubic root of 100110961 is about 464.3304983479.

Adding to 100110961 its reverse (169011001), we get a palindrome (269121962).

The spelling of 100110961 in words is "one hundred million, one hundred ten thousand, nine hundred sixty-one".