102210001301304 has 256 divisors, whose sum is σ = 310856207760000. Its totient is φ = 30928860979200.

The previous prime is 102210001301267. The next prime is 102210001301339. The reversal of 102210001301304 is 403103100012201.

102210001301304 is a `hidden beast` number, since 10 + 221 + 0 + 0 + 0 + 130 + 1 + 304 = 666.

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 (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41048224 + ... + 43466960.

Almost surely, 2^{102210001301304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102210001301304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155428103880000).

102210001301304 is an abundant number, since it is smaller than the sum of its proper divisors (208646206458696).

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

102210001301304 is a wasteful number, since it uses less digits than its factorization.

102210001301304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419015 (or 2419005 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102210001301304 its reverse (403103100012201), we get a palindrome (505313101313505).

The spelling of 102210001301304 in words is "one hundred two trillion, two hundred ten billion, one million, three hundred one thousand, three hundred four".