100220000110721 has 2 divisors, whose sum is σ = 100220000110722. Its totient is φ = 100220000110720.

The previous prime is 100220000110697. The next prime is 100220000110729. The reversal of 100220000110721 is 127011000022001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88638835632400 + 11581164478321 = 9414820^2 + 3403111^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100220000110721 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100220000110721.

It is not a weakly prime, because it can be changed into another prime (100220000110729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110000055360 + 50110000055361.

It is an arithmetic number, because the mean of its divisors is an integer number (50110000055361).

Almost surely, 2^{100220000110721} is an apocalyptic number.

It is an amenable number.

100220000110721 is a deficient number, since it is larger than the sum of its proper divisors (1).

100220000110721 is an equidigital number, since it uses as much as digits as its factorization.

100220000110721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 100220000110721 its reverse (127011000022001), we get a palindrome (227231000132722).

The spelling of 100220000110721 in words is "one hundred trillion, two hundred twenty billion, one hundred ten thousand, seven hundred twenty-one".