1110100112121 has 192 divisors, whose sum is σ = 2097042877440. Its totient is φ = 513049904640.

The previous prime is 1110100112101. The next prime is 1110100112159. The reversal of 1110100112121 is 1212110010111.

It is not a de Polignac number, because 1110100112121 - 2⁶ = 1110100112057 is a prime.

It is a super-2 number, since 2×1110100112121² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1110100112097 and 1110100112106.

It is not an unprimeable number, because it can be changed into a prime (1110100112101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83215470 + ... + 83228808.

It is an arithmetic number, because the mean of its divisors is an integer number (10922098320).

Almost surely, 2^{1110100112121} is an apocalyptic number.

1110100112121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1110100112121 is a deficient number, since it is larger than the sum of its proper divisors (986942765319).

1110100112121 is a wasteful number, since it uses less digits than its factorization.

1110100112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13524 (or 13517 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1110100112121 its reverse (1212110010111), we get a palindrome (2322210122232).

It can be divided in two parts, 1110100 and 112121, that added together give a palindrome (1222221).

The spelling of 1110100112121 in words is "one trillion, one hundred ten billion, one hundred million, one hundred twelve thousand, one hundred twenty-one".