102004422120 has 256 divisors, whose sum is σ = 342486144000. Its totient is φ = 27004320000.

The previous prime is 102004422089. The next prime is 102004422133. The reversal of 102004422120 is 21224400201.

102004422120 is a `hidden beast` number, since 1 + 0 + 200 + 442 + 2 + 1 + 20 = 666.

102004422120 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 102004422093 and 102004422102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154786351 + ... + 154787009.

It is an arithmetic number, because the mean of its divisors is an integer number (1337836500).

Almost surely, 2^102004422120 is an apocalyptic number.

102004422120 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 102004422120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171243072000).

102004422120 is an abundant number, since it is smaller than the sum of its proper divisors (240481721880).

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

102004422120 is a wasteful number, since it uses less digits than its factorization.

102004422120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102004422120 its reverse (21224400201), we get a palindrome (123228822321).

The spelling of 102004422120 in words is "one hundred two billion, four million, four hundred twenty-two thousand, one hundred twenty".