110212211102121 has 16 divisors (see below), whose sum is σ = 163278020905920. Its totient is φ = 73474505395200.

The previous prime is 110212211102101. The next prime is 110212211102141. The reversal of 110212211102121 is 121201112212011.

It is a happy number.

110212211102121 is a `hidden beast` number, since 110 + 212 + 21 + 110 + 212 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (110212211102101) and next prime (110212211102141).

It is not a de Polignac number, because 110212211102121 - 2³⁵ = 110177851363753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110212211102094 and 110212211102103.

It is not an unprimeable number, because it can be changed into a prime (110212211102101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1598680 + ... + 14932521.

It is an arithmetic number, because the mean of its divisors is an integer number (10204876306620).

Almost surely, 2^{110212211102121} is an apocalyptic number.

It is an amenable number.

110212211102121 is a deficient number, since it is larger than the sum of its proper divisors (53065809803799).

110212211102121 is a wasteful number, since it uses less digits than its factorization.

110212211102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16778133 (or 16778127 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 110212211102121 its reverse (121201112212011), we get a palindrome (231413323314132).

The spelling of 110212211102121 in words is "one hundred ten trillion, two hundred twelve billion, two hundred eleven million, one hundred two thousand, one hundred twenty-one".