110010100009961 has 2 divisors, whose sum is σ = 110010100009962. Its totient is φ = 110010100009960.

The previous prime is 110010100009883. The next prime is 110010100009969. The reversal of 110010100009961 is 169900001010011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109323356319961 + 686743690000 = 10455781^2 + 828700^2 .

It is a cyclic number.

It is not a de Polignac number, because 110010100009961 - 2³⁴ = 109992920140777 is a prime.

It is not a weakly prime, because it can be changed into another prime (110010100009969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55005050004980 + 55005050004981.

It is an arithmetic number, because the mean of its divisors is an integer number (55005050004981).

Almost surely, 2^{110010100009961} is an apocalyptic number.

It is an amenable number.

110010100009961 is a deficient number, since it is larger than the sum of its proper divisors (1).

110010100009961 is an equidigital number, since it uses as much as digits as its factorization.

110010100009961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 29.

Adding to 110010100009961 its reverse (169900001010011), we get a palindrome (279910101019972).

The spelling of 110010100009961 in words is "one hundred ten trillion, ten billion, one hundred million, nine thousand, nine hundred sixty-one".