100202011010200 has 192 divisors, whose sum is σ = 259423839249120. Its totient is φ = 35685935616000.

The previous prime is 100202011010137. The next prime is 100202011010219. The reversal of 100202011010200 is 2010110202001.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 47 ways as a sum of consecutive naturals, for example, 29666322 + ... + 32870878.

Almost surely, 2^{100202011010200} is an apocalyptic number.

100202011010200 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 100202011010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129711919624560).

100202011010200 is an abundant number, since it is smaller than the sum of its proper divisors (159221828238920).

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

100202011010200 is a wasteful number, since it uses less digits than its factorization.

100202011010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204878 (or 3204869 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100202011010200 its reverse (2010110202001), we get a palindrome (102212121212201).

The spelling of 100202011010200 in words is "one hundred trillion, two hundred two billion, eleven million, ten thousand, two hundred".