100037656773221 has 2 divisors, whose sum is σ = 100037656773222. Its totient is φ = 100037656773220.

The previous prime is 100037656773203. The next prime is 100037656773251. The reversal of 100037656773221 is 122377656730001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76648449108100 + 23389207665121 = 8754910^2 + 4836239^2 .

It is a cyclic number.

It is not a de Polignac number, because 100037656773221 - 2¹⁴ = 100037656756837 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100037656773221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100037656773251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50018828386610 + 50018828386611.

It is an arithmetic number, because the mean of its divisors is an integer number (50018828386611).

Almost surely, 2^{100037656773221} is an apocalyptic number.

It is an amenable number.

100037656773221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100037656773221 is an equidigital number, since it uses as much as digits as its factorization.

100037656773221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2222640, while the sum is 50.

The spelling of 100037656773221 in words is "one hundred trillion, thirty-seven billion, six hundred fifty-six million, seven hundred seventy-three thousand, two hundred twenty-one".