1100101121681 has 2 divisors, whose sum is σ = 1100101121682. Its totient is φ = 1100101121680.

The previous prime is 1100101121663. The next prime is 1100101121711. The reversal of 1100101121681 is 1861211010011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 750484353025 + 349616768656 = 866305^2 + 591284^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100101121681 - 2²⁶ = 1100034012817 is a prime.

It is a super-3 number, since 3×1100101121681³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (1100101121081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550050560840 + 550050560841.

It is an arithmetic number, because the mean of its divisors is an integer number (550050560841).

Almost surely, 2^{1100101121681} is an apocalyptic number.

It is an amenable number.

1100101121681 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100101121681 is an equidigital number, since it uses as much as digits as its factorization.

1100101121681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 23.

Adding to 1100101121681 its reverse (1861211010011), we get a palindrome (2961312131692).

The spelling of 1100101121681 in words is "one trillion, one hundred billion, one hundred one million, one hundred twenty-one thousand, six hundred eighty-one".