100210122212200 has 288 divisors, whose sum is σ = 315193650065280. Its totient is φ = 28831682880000.

The previous prime is 100210122212177. The next prime is 100210122212231. The reversal of 100210122212200 is 2212221012001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20550076 + ... + 24954475.

It is an arithmetic number, because the mean of its divisors is an integer number (1094422396060).

Almost surely, 2^{100210122212200} is an apocalyptic number.

100210122212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210122212200 is an abundant number, since it is smaller than the sum of its proper divisors (214983527853080).

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

100210122212200 is a wasteful number, since it uses less digits than its factorization.

100210122212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45504609 (or 45504589 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100210122212200 its reverse (2212221012001), we get a palindrome (102422343224201).

The spelling of 100210122212200 in words is "one hundred trillion, two hundred ten billion, one hundred twenty-two million, two hundred twelve thousand, two hundred".