110010099961 has 2 divisors, whose sum is σ = 110010099962. Its totient is φ = 110010099960.

The previous prime is 110010099949. The next prime is 110010099973. The reversal of 110010099961 is 169990010011.

It is a balanced prime because it is at equal distance from previous prime (110010099949) and next prime (110010099973).

It can be written as a sum of positive squares in only one way, i.e., 88599094336 + 21411005625 = 297656^2 + 146325^2 .

It is a cyclic number.

It is not a de Polignac number, because 110010099961 - 2⁹ = 110010099449 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110010099961.

It is not a weakly prime, because it can be changed into another prime (110010099911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55005049980 + 55005049981.

It is an arithmetic number, because the mean of its divisors is an integer number (55005049981).

Almost surely, 2^110010099961 is an apocalyptic number.

It is an amenable number.

110010099961 is a deficient number, since it is larger than the sum of its proper divisors (1).

110010099961 is an equidigital number, since it uses as much as digits as its factorization.

110010099961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 37.

The spelling of 110010099961 in words is "one hundred ten billion, ten million, ninety-nine thousand, nine hundred sixty-one".