100210212002200 has 96 divisors (see below), whose sum is σ = 241058165040000. Its totient is φ = 38696202316800.

The previous prime is 100210212002183. The next prime is 100210212002231. The reversal of 100210212002200 is 2200212012001.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 38415001 + ... + 40940599.

It is an arithmetic number, because the mean of its divisors is an integer number (2511022552500).

Almost surely, 2^{100210212002200} is an apocalyptic number.

100210212002200 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 100210212002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120529082520000).

100210212002200 is an abundant number, since it is smaller than the sum of its proper divisors (140847953037800).

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

100210212002200 is a wasteful number, since it uses less digits than its factorization.

100210212002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532485 (or 2532476 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100210212002200 its reverse (2200212012001), we get a palindrome (102410424014201).

The spelling of 100210212002200 in words is "one hundred trillion, two hundred ten billion, two hundred twelve million, two thousand, two hundred".