102000011120 has 120 divisors (see below), whose sum is σ = 277464857184. Its totient is φ = 34769054208.

The previous prime is 102000011111. The next prime is 102000011123. The reversal of 102000011120 is 21110000201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 102000011098 and 102000011107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000011123) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 602957 + ... + 753363.

Almost surely, 2^102000011120 is an apocalyptic number.

102000011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102000011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138732428592).

102000011120 is an abundant number, since it is smaller than the sum of its proper divisors (175464846064).

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

102000011120 is a wasteful number, since it uses less digits than its factorization.

102000011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150607 (or 150594 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102000011120 its reverse (21110000201), we get a palindrome (123110011321).

The spelling of 102000011120 in words is "one hundred two billion, eleven thousand, one hundred twenty".