102133002420 has 72 divisors (see below), whose sum is σ = 326108895840. Its totient is φ = 25802020800.

The previous prime is 102133002379. The next prime is 102133002421. The reversal of 102133002420 is 24200331201.

102133002420 is a `hidden beast` number, since 1 + 0 + 213 + 30 + 0 + 2 + 420 = 666.

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 = 102133002393 and 102133002402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133002421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14928306 + ... + 14935145.

It is an arithmetic number, because the mean of its divisors is an integer number (4529290220).

Almost surely, 2^102133002420 is an apocalyptic number.

102133002420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102133002420 is an abundant number, since it is smaller than the sum of its proper divisors (223975893420).

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

102133002420 is a wasteful number, since it uses less digits than its factorization.

102133002420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29863485 (or 29863480 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102133002420 its reverse (24200331201), we get a palindrome (126333333621).

The spelling of 102133002420 in words is "one hundred two billion, one hundred thirty-three million, two thousand, four hundred twenty".