110101122212120 has 64 divisors (see below), whose sum is σ = 266792458453920. Its totient is φ = 40651355188224.

The previous prime is 110101122212111. The next prime is 110101122212129. The reversal of 110101122212120 is 21212221101011.

It is an interprime number because it is at equal distance from previous prime (110101122212111) and next prime (110101122212129).

It is a super-2 number, since 2×110101122212120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110101122212129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11986244 + ... + 19075436.

Almost surely, 2^{110101122212120} is an apocalyptic number.

110101122212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110101122212120 is an abundant number, since it is smaller than the sum of its proper divisors (156691336241800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110101122212120 is a wasteful number, since it uses less digits than its factorization.

110101122212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7119084 (or 7119080 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 110101122212120 its reverse (21212221101011), we get a palindrome (131313343313131).

The spelling of 110101122212120 in words is "one hundred ten trillion, one hundred one billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twenty".