101600346377 has 2 divisors, whose sum is σ = 101600346378. Its totient is φ = 101600346376.

The previous prime is 101600346343. The next prime is 101600346451. The reversal of 101600346377 is 773643006101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55298344336 + 46302002041 = 235156^2 + 215179^2 .

It is a cyclic number.

It is not a de Polignac number, because 101600346377 - 2¹⁴ = 101600329993 is a prime.

It is a super-2 number, since 2×101600346377² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101600346377.

It is not a weakly prime, because it can be changed into another prime (101600346577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50800173188 + 50800173189.

It is an arithmetic number, because the mean of its divisors is an integer number (50800173189).

Almost surely, 2^101600346377 is an apocalyptic number.

It is an amenable number.

101600346377 is a deficient number, since it is larger than the sum of its proper divisors (1).

101600346377 is an equidigital number, since it uses as much as digits as its factorization.

101600346377 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63504, while the sum is 38.

The spelling of 101600346377 in words is "one hundred one billion, six hundred million, three hundred forty-six thousand, three hundred seventy-seven".