110010121001 has 16 divisors (see below), whose sum is σ = 122833601088. Its totient is φ = 97658265600.

The previous prime is 110010120953. The next prime is 110010121051. The reversal of 110010121001 is 100121010011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 110010121001 - 2¹⁸ = 110009858857 is a prime.

It is a super-2 number, since 2×110010121001² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 110010121001.

It is not an unprimeable number, because it can be changed into a prime (110010121051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1947881 + ... + 2003561.

It is an arithmetic number, because the mean of its divisors is an integer number (7677100068).

Almost surely, 2^110010121001 is an apocalyptic number.

110010121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110010121001 is a deficient number, since it is larger than the sum of its proper divisors (12823480087).

110010121001 is a wasteful number, since it uses less digits than its factorization.

110010121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59912.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 110010121001 its reverse (100121010011), we get a palindrome (210131131012).

It can be divided in two parts, 1100 and 10121001, that added together give a palindrome (10122101).

The spelling of 110010121001 in words is "one hundred ten billion, ten million, one hundred twenty-one thousand, one".