110100101112121 has 2 divisors, whose sum is σ = 110100101112122. Its totient is φ = 110100101112120.

The previous prime is 110100101112109. The next prime is 110100101112139. The reversal of 110100101112121 is 121211101001011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108462622582521 + 1637478529600 = 10414539^2 + 1279640^2 .

It is a cyclic number.

It is not a de Polignac number, because 110100101112121 - 2¹¹ = 110100101110073 is a prime.

It is a super-2 number, since 2×110100101112121² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (110100101112721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050050556060 + 55050050556061.

It is an arithmetic number, because the mean of its divisors is an integer number (55050050556061).

Almost surely, 2^{110100101112121} is an apocalyptic number.

It is an amenable number.

110100101112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100101112121 is an equidigital number, since it uses as much as digits as its factorization.

110100101112121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 110100101112121 its reverse (121211101001011), we get a palindrome (231311202113132).

It can be divided in two parts, 1101001011 and 12121, that multiplied together give a palindrome (13345233254331).

The spelling of 110100101112121 in words is "one hundred ten trillion, one hundred billion, one hundred one million, one hundred twelve thousand, one hundred twenty-one".