102120441144030 has 64 divisors (see below), whose sum is σ = 278115244001280. Its totient is φ = 26652710876832.

The previous prime is 102120441144013. The next prime is 102120441144083. The reversal of 102120441144030 is 30441144021201.

102120441144030 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 204 + 4 + 11 + 440 + 3 + 0 = 666.

102120441144030 is digitally balanced in base 4, 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 (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102120441143985 and 102120441144003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4023645354 + ... + 4023670733.

It is an arithmetic number, because the mean of its divisors is an integer number (4345550687520).

Almost surely, 2^{102120441144030} is an apocalyptic number.

102120441144030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102120441144030 is an abundant number, since it is smaller than the sum of its proper divisors (175994802857250).

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

102120441144030 is a wasteful number, since it uses less digits than its factorization.

102120441144030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8047316150 (or 8047316144 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 102120441144030 its reverse (30441144021201), we get a palindrome (132561585165231).

The spelling of 102120441144030 in words is "one hundred two trillion, one hundred twenty billion, four hundred forty-one million, one hundred forty-four thousand, thirty".