110012100121 has 32 divisors (see below), whose sum is σ = 137931171840. Its totient is φ = 85241808000.

The previous prime is 110012100109. The next prime is 110012100131. The reversal of 110012100121 is 121001210011.

It is a cyclic number.

It is not a de Polignac number, because 110012100121 - 2⁷ = 110012099993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110012100098 and 110012100107.

It is not an unprimeable number, because it can be changed into a prime (110012100131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10372221 + ... + 10382821.

It is an arithmetic number, because the mean of its divisors is an integer number (4310349120).

Almost surely, 2^110012100121 is an apocalyptic number.

110012100121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110012100121 is a deficient number, since it is larger than the sum of its proper divisors (27919071719).

110012100121 is a wasteful number, since it uses less digits than its factorization.

110012100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11365.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110012100121 its reverse (121001210011), we get a palindrome (231013310132).

The spelling of 110012100121 in words is "one hundred ten billion, twelve million, one hundred thousand, one hundred twenty-one".