101111102120 has 48 divisors (see below), whose sum is σ = 264642838740. Its totient is φ = 34666662912.

The previous prime is 101111102119. The next prime is 101111102129. The reversal of 101111102120 is 21201111101.

It can be written as a sum of positive squares in 2 ways, for example, as 100135539364 + 975562756 = 316442^2 + 31234^2 .

It is not an unprimeable number, because it can be changed into a prime (101111102129) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 25791689 + ... + 25795608.

Almost surely, 2^101111102120 is an apocalyptic number.

101111102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111102120 is an abundant number, since it is smaller than the sum of its proper divisors (163531736620).

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

101111102120 is a wasteful number, since it uses less digits than its factorization.

101111102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51587322 (or 51587311 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101111102120 its reverse (21201111101), we get a palindrome (122312213221).

The spelling of 101111102120 in words is "one hundred one billion, one hundred eleven million, one hundred two thousand, one hundred twenty".