101616017761 has 2 divisors, whose sum is σ = 101616017762. Its totient is φ = 101616017760.

The previous prime is 101616017749. The next prime is 101616017773. The reversal of 101616017761 is 167710616101.

It is a balanced prime because it is at equal distance from previous prime (101616017749) and next prime (101616017773).

It can be written as a sum of positive squares in only one way, i.e., 96025614400 + 5590403361 = 309880^2 + 74769^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101616017761 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101616017761.

It is not a weakly prime, because it can be changed into another prime (101616017791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50808008880 + 50808008881.

It is an arithmetic number, because the mean of its divisors is an integer number (50808008881).

Almost surely, 2^101616017761 is an apocalyptic number.

It is an amenable number.

101616017761 is a deficient number, since it is larger than the sum of its proper divisors (1).

101616017761 is an equidigital number, since it uses as much as digits as its factorization.

101616017761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 37.

The spelling of 101616017761 in words is "one hundred one billion, six hundred sixteen million, seventeen thousand, seven hundred sixty-one".