101021100111120 has 160 divisors (see below), whose sum is σ = 357906862494720. Its totient is φ = 23090309015040.

The previous prime is 101021100111059. The next prime is 101021100111163. The reversal of 101021100111120 is 21111001120101.

101021100111120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 101021100111096 and 101021100111105.

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 31 ways as a sum of consecutive naturals, for example, 217124335 + ... + 217589105.

It is an arithmetic number, because the mean of its divisors is an integer number (2236917890592).

Almost surely, 2^{101021100111120} is an apocalyptic number.

101021100111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021100111120 is an abundant number, since it is smaller than the sum of its proper divisors (256885762383600).

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

101021100111120 is a wasteful number, since it uses less digits than its factorization.

101021100111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594173 (or 594167 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101021100111120 its reverse (21111001120101), we get a palindrome (122132101231221).

The spelling of 101021100111120 in words is "one hundred one trillion, twenty-one billion, one hundred million, one hundred eleven thousand, one hundred twenty".