103757868409021 has 2 divisors, whose sum is σ = 103757868409022. Its totient is φ = 103757868409020.

The previous prime is 103757868408973. The next prime is 103757868409061. The reversal of 103757868409021 is 120904868757301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81753044144121 + 22004824264900 = 9041739^2 + 4690930^2 .

It is a cyclic number.

It is not a de Polignac number, because 103757868409021 - 2¹⁹ = 103757867884733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103757868409061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51878934204510 + 51878934204511.

It is an arithmetic number, because the mean of its divisors is an integer number (51878934204511).

It is a 1-persistent number, because it is pandigital, but 2⋅103757868409021 = 207515736818042 is not.

Almost surely, 2^{103757868409021} is an apocalyptic number.

It is an amenable number.

103757868409021 is a deficient number, since it is larger than the sum of its proper divisors (1).

103757868409021 is an equidigital number, since it uses as much as digits as its factorization.

103757868409021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20321280, while the sum is 61.

The spelling of 103757868409021 in words is "one hundred three trillion, seven hundred fifty-seven billion, eight hundred sixty-eight million, four hundred nine thousand, twenty-one".