101110399961 has 2 divisors, whose sum is σ = 101110399962. Its totient is φ = 101110399960.

The previous prime is 101110399931. The next prime is 101110400023. The reversal of 101110399961 is 169993011101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75724032400 + 25386367561 = 275180^2 + 159331^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110399961 - 2¹⁰ = 101110398937 is a prime.

It is not a weakly prime, because it can be changed into another prime (101110399921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555199980 + 50555199981.

It is an arithmetic number, because the mean of its divisors is an integer number (50555199981).

Almost surely, 2^101110399961 is an apocalyptic number.

It is an amenable number.

101110399961 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110399961 is an equidigital number, since it uses as much as digits as its factorization.

101110399961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13122, while the sum is 41.

The spelling of 101110399961 in words is "one hundred one billion, one hundred ten million, three hundred ninety-nine thousand, nine hundred sixty-one".