2111002121177 has 2 divisors, whose sum is σ = 2111002121178. Its totient is φ = 2111002121176.

The previous prime is 2111002121167. The next prime is 2111002121233. The reversal of 2111002121177 is 7711212001112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2030579400256 + 80422720921 = 1424984^2 + 283589^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111002121177 - 2⁴ = 2111002121161 is a prime.

It is a super-2 number, since 2×2111002121177² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2111002121117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055501060588 + 1055501060589.

It is an arithmetic number, because the mean of its divisors is an integer number (1055501060589).

Almost surely, 2^{2111002121177} is an apocalyptic number.

It is an amenable number.

2111002121177 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111002121177 is an equidigital number, since it uses as much as digits as its factorization.

2111002121177 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 26.

Adding to 2111002121177 its reverse (7711212001112), we get a palindrome (9822214122289).

The spelling of 2111002121177 in words is "two trillion, one hundred eleven billion, two million, one hundred twenty-one thousand, one hundred seventy-seven".