110012121001 has 8 divisors (see below), whose sum is σ = 110402103240. Its totient is φ = 109622689152.

The previous prime is 110012120987. The next prime is 110012121013. The reversal of 110012121001 is 100121210011.

It can be written as a sum of positive squares in 4 ways, for example, as 20036119401 + 89976001600 = 141549^2 + 299960^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 110012121001 - 2¹⁹ = 110011596713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110012121101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264951 + ... + 538723.

It is an arithmetic number, because the mean of its divisors is an integer number (13800262905).

Almost surely, 2^110012121001 is an apocalyptic number.

It is an amenable number.

110012121001 is a deficient number, since it is larger than the sum of its proper divisors (389982239).

110012121001 is a wasteful number, since it uses less digits than its factorization.

110012121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275195.

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

Adding to 110012121001 its reverse (100121210011), we get a palindrome (210133331012).

The spelling of 110012121001 in words is "one hundred ten billion, twelve million, one hundred twenty-one thousand, one".