10242010132200 has 384 divisors, whose sum is σ = 43983006336000. Its totient is φ = 2128209811200.

The previous prime is 10242010132157. The next prime is 10242010132219. The reversal of 10242010132200 is 223101024201.

It is a happy number.

10242010132200 is a `hidden beast` number, since 1 + 0 + 2 + 420 + 10 + 1 + 32 + 200 = 666.

It is a super-2 number, since 2×10242010132200² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11900230 + ... + 12731829.

It is an arithmetic number, because the mean of its divisors is an integer number (114539079000).

Almost surely, 2^{10242010132200} is an apocalyptic number.

10242010132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10242010132200 is an abundant number, since it is smaller than the sum of its proper divisors (33740996203800).

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

10242010132200 is a wasteful number, since it uses less digits than its factorization.

10242010132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24632102 (or 24632087 counting only the distinct ones).

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

Adding to 10242010132200 its reverse (223101024201), we get a palindrome (10465111156401).

The spelling of 10242010132200 in words is "ten trillion, two hundred forty-two billion, ten million, one hundred thirty-two thousand, two hundred".