101111021120120 has 96 divisors (see below), whose sum is σ = 254300096559600. Its totient is φ = 36144463534080.

The previous prime is 101111021120119. The next prime is 101111021120129. The reversal of 101111021120120 is 21021120111101.

It is a junction number, because it is equal to n+sod(n) for n = 101111021120095 and 101111021120104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111021120129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176754329 + ... + 177325448.

Almost surely, 2^{101111021120120} is an apocalyptic number.

101111021120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111021120120 is an abundant number, since it is smaller than the sum of its proper divisors (153189075439480).

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

101111021120120 is a wasteful number, since it uses less digits than its factorization.

101111021120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354079869 (or 354079854 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101111021120120 its reverse (21021120111101), we get a palindrome (122132141231221).

The spelling of 101111021120120 in words is "one hundred one trillion, one hundred eleven billion, twenty-one million, one hundred twenty thousand, one hundred twenty".