100300401200 has 360 divisors, whose sum is σ = 267430539600. Its totient is φ = 36010557440.

The previous prime is 100300401193. The next prime is 100300401211. The reversal of 100300401200 is 2104003001.

It is a happy number.

It is a super-2 number, since 2×100300401200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 1126970756 + ... + 1126970844.

It is an arithmetic number, because the mean of its divisors is an integer number (742862610).

Almost surely, 2^100300401200 is an apocalyptic number.

100300401200 is a gapful number since it is divisible by the number (10) 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 100300401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133715269800).

100300401200 is an abundant number, since it is smaller than the sum of its proper divisors (167130138400).

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

100300401200 is a wasteful number, since it uses less digits than its factorization.

100300401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 100300401200 its reverse (2104003001), we get a palindrome (102404404201).

It can be divided in two parts, 100300 and 401200, that multiplied together give a square (40240360000 = 200600²).

The spelling of 100300401200 in words is "one hundred billion, three hundred million, four hundred one thousand, two hundred".