110100010101121 has 2 divisors, whose sum is σ = 110100010101122. Its totient is φ = 110100010101120.

The previous prime is 110100010100957. The next prime is 110100010101131. The reversal of 110100010101121 is 121101010001011.

It is an a-pointer prime, because the next prime (110100010101131) can be obtained adding 110100010101121 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108028771028721 + 2071239072400 = 10393689^2 + 1439180^2 .

It is a cyclic number.

It is not a de Polignac number, because 110100010101121 - 2³¹ = 110097862617473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110100010101098 and 110100010101107.

It is not a weakly prime, because it can be changed into another prime (110100010101131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050005050560 + 55050005050561.

It is an arithmetic number, because the mean of its divisors is an integer number (55050005050561).

Almost surely, 2^{110100010101121} is an apocalyptic number.

It is an amenable number.

110100010101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100010101121 is an equidigital number, since it uses as much as digits as its factorization.

110100010101121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 110100010101121 its reverse (121101010001011), we get a palindrome (231201020102132).

The spelling of 110100010101121 in words is "one hundred ten trillion, one hundred billion, ten million, one hundred one thousand, one hundred twenty-one".