100220212001177 has 2 divisors, whose sum is σ = 100220212001178. Its totient is φ = 100220212001176.

The previous prime is 100220212001051. The next prime is 100220212001341. The reversal of 100220212001177 is 771100212022001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75757335569161 + 24462876432016 = 8703869^2 + 4945996^2 .

It is a cyclic number.

It is not a de Polignac number, because 100220212001177 - 2²⁴ = 100220195223961 is a prime.

It is not a weakly prime, because it can be changed into another prime (100220212001477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110106000588 + 50110106000589.

It is an arithmetic number, because the mean of its divisors is an integer number (50110106000589).

Almost surely, 2^{100220212001177} is an apocalyptic number.

It is an amenable number.

100220212001177 is a deficient number, since it is larger than the sum of its proper divisors (1).

100220212001177 is an equidigital number, since it uses as much as digits as its factorization.

100220212001177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 784, while the sum is 26.

Adding to 100220212001177 its reverse (771100212022001), we get a palindrome (871320424023178).

The spelling of 100220212001177 in words is "one hundred trillion, two hundred twenty billion, two hundred twelve million, one thousand, one hundred seventy-seven".