100202122210200 has 192 divisors, whose sum is σ = 331114277568000. Its totient is φ = 24993786954240.

The previous prime is 100202122210187. The next prime is 100202122210207. The reversal of 100202122210200 is 2012221202001.

It is a super-2 number, since 2×100202122210200² (a number of 29 digits) contains 22 as substring.

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 100202122210200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202122210207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54730159 + ... + 56531358.

It is an arithmetic number, because the mean of its divisors is an integer number (1724553529000).

Almost surely, 2^{100202122210200} is an apocalyptic number.

100202122210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202122210200 is an abundant number, since it is smaller than the sum of its proper divisors (230912155357800).

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

100202122210200 is a wasteful number, since it uses less digits than its factorization.

100202122210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111261634 (or 111261625 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100202122210200 its reverse (2012221202001), we get a palindrome (102214343412201).

The spelling of 100202122210200 in words is "one hundred trillion, two hundred two billion, one hundred twenty-two million, two hundred ten thousand, two hundred".