101112102120 has 32 divisors (see below), whose sum is σ = 303336306720. Its totient is φ = 26963227200.

The previous prime is 101112102107. The next prime is 101112102127. The reversal of 101112102120 is 21201211101.

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 = 101112102096 and 101112102105.

It is not an unprimeable number, because it can be changed into a prime (101112102127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 421300306 + ... + 421300545.

It is an arithmetic number, because the mean of its divisors is an integer number (9479259585).

Almost surely, 2^101112102120 is an apocalyptic number.

101112102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112102120 is an abundant number, since it is smaller than the sum of its proper divisors (202224204600).

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

101112102120 is a wasteful number, since it uses less digits than its factorization.

101112102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842600865 (or 842600861 counting only the distinct ones).

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

Adding to 101112102120 its reverse (21201211101), we get a palindrome (122313313221).

The spelling of 101112102120 in words is "one hundred one billion, one hundred twelve million, one hundred two thousand, one hundred twenty".