101110220101120 has 40 divisors (see below), whose sum is σ = 242427551170464. Its totient is φ = 40444088039424.

The previous prime is 101110220101087. The next prime is 101110220101127. The reversal of 101110220101120 is 21101022011101.

It is a happy number.

101110220101120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 101110220101120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110220101127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19748087304 + ... + 19748092423.

Almost surely, 2^{101110220101120} is an apocalyptic number.

101110220101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110220101120 is an abundant number, since it is smaller than the sum of its proper divisors (141317331069344).

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

101110220101120 is an frugal number, since it uses more digits than its factorization.

101110220101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39496179750 (or 39496179734 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101110220101120 its reverse (21101022011101), we get a palindrome (122211242112221).

The spelling of 101110220101120 in words is "one hundred one trillion, one hundred ten billion, two hundred twenty million, one hundred one thousand, one hundred twenty".