100020010220177 has 2 divisors, whose sum is σ = 100020010220178. Its totient is φ = 100020010220176.

The previous prime is 100020010220159. The next prime is 100020010220219. The reversal of 100020010220177 is 771022010020001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78319030838416 + 21700979381761 = 8849804^2 + 4658431^2 .

It is a cyclic number.

It is not a de Polignac number, because 100020010220177 - 2¹⁰ = 100020010219153 is a prime.

It is a super-2 number, since 2×100020010220177² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100020010220107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010005110088 + 50010005110089.

It is an arithmetic number, because the mean of its divisors is an integer number (50010005110089).

Almost surely, 2^{100020010220177} is an apocalyptic number.

It is an amenable number.

100020010220177 is a deficient number, since it is larger than the sum of its proper divisors (1).

100020010220177 is an equidigital number, since it uses as much as digits as its factorization.

100020010220177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 392, while the sum is 23.

Adding to 100020010220177 its reverse (771022010020001), we get a palindrome (871042020240178).

The spelling of 100020010220177 in words is "one hundred trillion, twenty billion, ten million, two hundred twenty thousand, one hundred seventy-seven".