110101202100120 has 512 divisors, whose sum is σ = 415535318784000. Its totient is φ = 22671130460160.

The previous prime is 110101202100091. The next prime is 110101202100133. The reversal of 110101202100120 is 21001202101011.

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 = 110101202100096 and 110101202100105.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 8174408746 + ... + 8174422214.

It is an arithmetic number, because the mean of its divisors is an integer number (811592419500).

Almost surely, 2^{110101202100120} is an apocalyptic number.

110101202100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110101202100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207767659392000).

110101202100120 is an abundant number, since it is smaller than the sum of its proper divisors (305434116683880).

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

110101202100120 is a wasteful number, since it uses less digits than its factorization.

110101202100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21443 (or 21439 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110101202100120 its reverse (21001202101011), we get a palindrome (131102404201131).

The spelling of 110101202100120 in words is "one hundred ten trillion, one hundred one billion, two hundred two million, one hundred thousand, one hundred twenty".