100113301032721 has 2 divisors, whose sum is σ = 100113301032722. Its totient is φ = 100113301032720.

The previous prime is 100113301032673. The next prime is 100113301032743. The reversal of 100113301032721 is 127230103311001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67527881476225 + 32585419556496 = 8217535^2 + 5708364^2 .

It is a cyclic number.

It is not a de Polignac number, because 100113301032721 - 2¹⁵ = 100113300999953 is a prime.

It is a super-2 number, since 2×100113301032721² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100113301035721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056650516360 + 50056650516361.

It is an arithmetic number, because the mean of its divisors is an integer number (50056650516361).

Almost surely, 2^{100113301032721} is an apocalyptic number.

It is an amenable number.

100113301032721 is a deficient number, since it is larger than the sum of its proper divisors (1).

100113301032721 is an equidigital number, since it uses as much as digits as its factorization.

100113301032721 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756, while the sum is 25.

Adding to 100113301032721 its reverse (127230103311001), we get a palindrome (227343404343722).

The spelling of 100113301032721 in words is "one hundred trillion, one hundred thirteen billion, three hundred one million, thirty-two thousand, seven hundred twenty-one".