110001220002120 has 128 divisors (see below), whose sum is σ = 337286339591040. Its totient is φ = 28693307750400.

The previous prime is 110001220002109. The next prime is 110001220002133. The reversal of 110001220002120 is 21200022100011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110001220002096 and 110001220002105.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 53668789 + ... + 55680708.

It is an arithmetic number, because the mean of its divisors is an integer number (2635049528055).

Almost surely, 2^{110001220002120} is an apocalyptic number.

110001220002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110001220002120 is an abundant number, since it is smaller than the sum of its proper divisors (227285119588920).

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

110001220002120 is a wasteful number, since it uses less digits than its factorization.

110001220002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109349695 (or 109349691 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110001220002120 its reverse (21200022100011), we get a palindrome (131201242102131).

The spelling of 110001220002120 in words is "one hundred ten trillion, one billion, two hundred twenty million, two thousand, one hundred twenty".