100202202001200 has 480 divisors, whose sum is σ = 357293749236480. Its totient is φ = 23849597030400.

The previous prime is 100202202001193. The next prime is 100202202001303. The reversal of 100202202001200 is 2100202202001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 55252039 + ... + 57036761.

It is an arithmetic number, because the mean of its divisors is an integer number (744361977576).

Almost surely, 2^{100202202001200} is an apocalyptic number.

100202202001200 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 100202202001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178646874618240).

100202202001200 is an abundant number, since it is smaller than the sum of its proper divisors (257091547235280).

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

100202202001200 is a wasteful number, since it uses less digits than its factorization.

100202202001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784877 (or 1784866 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100202202001200 its reverse (2100202202001), we get a palindrome (102302404203201).

The spelling of 100202202001200 in words is "one hundred trillion, two hundred two billion, two hundred two million, one thousand, two hundred".