83757582101 has 2 divisors, whose sum is σ = 83757582102. Its totient is φ = 83757582100.

The previous prime is 83757582089. The next prime is 83757582107. The reversal of 83757582101 is 10128575738.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43587000625 + 40170581476 = 208775^2 + 200426^2 .

It is a cyclic number.

It is not a de Polignac number, because 83757582101 - 2¹⁰ = 83757581077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83757582107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41878791050 + 41878791051.

It is an arithmetic number, because the mean of its divisors is an integer number (41878791051).

Almost surely, 2^83757582101 is an apocalyptic number.

It is an amenable number.

83757582101 is a deficient number, since it is larger than the sum of its proper divisors (1).

83757582101 is an equidigital number, since it uses as much as digits as its factorization.

83757582101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 470400, while the sum is 47.

The spelling of 83757582101 in words is "eighty-three billion, seven hundred fifty-seven million, five hundred eighty-two thousand, one hundred one".