30210102144 has 768 divisors, whose sum is σ = 104790067200. Its totient is φ = 8599633920.

The previous prime is 30210102103. The next prime is 30210102199. The reversal of 30210102144 is 44120101203.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 311444304 + ... + 311444400.

It is an arithmetic number, because the mean of its divisors is an integer number (136445400).

Almost surely, 2^30210102144 is an apocalyptic number.

30210102144 is a gapful number since it is divisible by the number (34) 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 30210102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52395033600).

30210102144 is an abundant number, since it is smaller than the sum of its proper divisors (74579965056).

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

30210102144 is a wasteful number, since it uses less digits than its factorization.

30210102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 30210102144 its reverse (44120101203), we get a palindrome (74330203347).

The spelling of 30210102144 in words is "thirty billion, two hundred ten million, one hundred two thousand, one hundred forty-four".