110101001222121 has 64 divisors (see below), whose sum is σ = 185752890925056. Its totient is φ = 56447453664000.

The previous prime is 110101001222111. The next prime is 110101001222137. The reversal of 110101001222121 is 121222100101011.

It is a happy number.

It is not a de Polignac number, because 110101001222121 - 2¹⁹ = 110101000697833 is a prime.

It is a super-3 number, since 3×110101001222121³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 110101001222121.

It is not an unprimeable number, because it can be changed into a prime (110101001222111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4195296 + ... + 15420846.

It is an arithmetic number, because the mean of its divisors is an integer number (2902388920704).

Almost surely, 2^{110101001222121} is an apocalyptic number.

It is an amenable number.

110101001222121 is a deficient number, since it is larger than the sum of its proper divisors (75651889702935).

110101001222121 is a wasteful number, since it uses less digits than its factorization.

110101001222121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11226582.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110101001222121 its reverse (121222100101011), we get a palindrome (231323101323132).

The spelling of 110101001222121 in words is "one hundred ten trillion, one hundred one billion, one million, two hundred twenty-two thousand, one hundred twenty-one".