110100222122121 has 32 divisors (see below), whose sum is σ = 203359717632000. Its totient is φ = 57194920581840.

The previous prime is 110100222122119. The next prime is 110100222122251. The reversal of 110100222122121 is 121221222001011.

It is not a de Polignac number, because 110100222122121 - 2¹ = 110100222122119 is a prime.

It is a super-2 number, since 2×110100222122121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110100222122094 and 110100222122103.

It is not an unprimeable number, because it can be changed into a prime (110100222127121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26479127821 + ... + 26479131978.

It is an arithmetic number, because the mean of its divisors is an integer number (6354991176000).

Almost surely, 2^{110100222122121} is an apocalyptic number.

110100222122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110100222122121 is a deficient number, since it is larger than the sum of its proper divisors (93259495509879).

110100222122121 is a wasteful number, since it uses less digits than its factorization.

110100222122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52958259826 (or 52958259820 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 110100222122121 its reverse (121221222001011), we get a palindrome (231321444123132).

The spelling of 110100222122121 in words is "one hundred ten trillion, one hundred billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty-one".