100200321003012 has 192 divisors, whose sum is σ = 244251877933056. Its totient is φ = 31935636357120.

The previous prime is 100200321002993. The next prime is 100200321003031. The reversal of 100200321003012 is 210300123002001.

It is an interprime number because it is at equal distance from previous prime (100200321002993) and next prime (100200321003031).

It is a junction number, because it is equal to n+sod(n) for n = 100200321002982 and 100200321003000.

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 63 ways as a sum of consecutive naturals, for example, 27887646688 + ... + 27887650280.

It is an arithmetic number, because the mean of its divisors is an integer number (1272145197568).

Almost surely, 2^{100200321003012} is an apocalyptic number.

100200321003012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100200321003012 is an abundant number, since it is smaller than the sum of its proper divisors (144051556930044).

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

100200321003012 is a wasteful number, since it uses less digits than its factorization.

100200321003012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6370 (or 6368 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100200321003012 its reverse (210300123002001), we get a palindrome (310500444005013).

The spelling of 100200321003012 in words is "one hundred trillion, two hundred billion, three hundred twenty-one million, three thousand, twelve".