110102112101121 has 64 divisors (see below), whose sum is σ = 170093444451840. Its totient is φ = 62053141708800.

The previous prime is 110102112101021. The next prime is 110102112101153. The reversal of 110102112101121 is 121101211201011.

It is not a de Polignac number, because 110102112101121 - 2⁷ = 110102112100993 is a prime.

It is a super-3 number, since 3×110102112101121³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 110102112101121.

It is not an unprimeable number, because it can be changed into a prime (110102112101021) 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 in 63 ways as a sum of consecutive naturals, for example, 287430921 + ... + 287813721.

It is an arithmetic number, because the mean of its divisors is an integer number (2657710069560).

Almost surely, 2^{110102112101121} is an apocalyptic number.

It is an amenable number.

110102112101121 is a deficient number, since it is larger than the sum of its proper divisors (59991332350719).

110102112101121 is a wasteful number, since it uses less digits than its factorization.

110102112101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383594.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 110102112101121 its reverse (121101211201011), we get a palindrome (231203323302132).

The spelling of 110102112101121 in words is "one hundred ten trillion, one hundred two billion, one hundred twelve million, one hundred one thousand, one hundred twenty-one".