100101103212300 has 72 divisors (see below), whose sum is σ = 293115326876736. Its totient is φ = 26372017546560.

The previous prime is 100101103212293. The next prime is 100101103212307. The reversal of 100101103212300 is 3212301101001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100101103212293) and next prime (100101103212307).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100101103212300.

It is not an unprimeable number, because it can be changed into a prime (100101103212307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2010037414 + ... + 2010087213.

Almost surely, 2^{100101103212300} is an apocalyptic number.

100101103212300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101103212300 is an abundant number, since it is smaller than the sum of its proper divisors (193014223664436).

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

100101103212300 is a wasteful number, since it uses less digits than its factorization.

100101103212300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4020124727 (or 4020124720 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100101103212300 its reverse (3212301101001), we get a palindrome (103313404313301).

The spelling of 100101103212300 in words is "one hundred trillion, one hundred one billion, one hundred three million, two hundred twelve thousand, three hundred".