102001223400804 has 432 divisors, whose sum is σ = 324173543541120. Its totient is φ = 26475157463040.

The previous prime is 102001223400757. The next prime is 102001223400809. The reversal of 102001223400804 is 408004322100201.

102001223400804 is a `hidden beast` number, since 10 + 20 + 0 + 1 + 223 + 400 + 8 + 0 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (102001223400809) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 739386474 + ... + 739524414.

It is an arithmetic number, because the mean of its divisors is an integer number (750401721160).

Almost surely, 2^{102001223400804} is an apocalyptic number.

102001223400804 is a gapful number since it is divisible by the number (14) 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 102001223400804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162086771770560).

102001223400804 is an abundant number, since it is smaller than the sum of its proper divisors (222172320140316).

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

102001223400804 is a wasteful number, since it uses less digits than its factorization.

102001223400804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138260 (or 138242 counting only the distinct ones).

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

The spelling of 102001223400804 in words is "one hundred two trillion, one billion, two hundred twenty-three million, four hundred thousand, eight hundred four".