783874731002101 has 2 divisors, whose sum is σ = 783874731002102. Its totient is φ = 783874731002100.

The previous prime is 783874731002057. The next prime is 783874731002149. The reversal of 783874731002101 is 101200137478387.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 712461262480900 + 71413468521201 = 26691970^2 + 8450649^2 .

It is an emirp because it is prime and its reverse (101200137478387) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 783874731002101 - 2⁹ = 783874731001589 is a prime.

It is a super-2 number, since 2×783874731002101² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (783874731008101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 391937365501050 + 391937365501051.

It is an arithmetic number, because the mean of its divisors is an integer number (391937365501051).

Almost surely, 2^{783874731002101} is an apocalyptic number.

It is an amenable number.

783874731002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

783874731002101 is an equidigital number, since it uses as much as digits as its factorization.

783874731002101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1580544, while the sum is 52.

The spelling of 783874731002101 in words is "seven hundred eighty-three trillion, eight hundred seventy-four billion, seven hundred thirty-one million, two thousand, one hundred one".