100210002202120 has 32 divisors (see below), whose sum is σ = 228648174045120. Its totient is φ = 39519437487040.

The previous prime is 100210002202087. The next prime is 100210002202133. The reversal of 100210002202120 is 21202200012001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100210002202120.

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 7 ways as a sum of consecutive naturals, for example, 17642603182 + ... + 17642608861.

It is an arithmetic number, because the mean of its divisors is an integer number (7145255438910).

Almost surely, 2^{100210002202120} is an apocalyptic number.

100210002202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210002202120 is an abundant number, since it is smaller than the sum of its proper divisors (128438171843000).

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

100210002202120 is a wasteful number, since it uses less digits than its factorization.

100210002202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35285212125 (or 35285212121 counting only the distinct ones).

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

Adding to 100210002202120 its reverse (21202200012001), we get a palindrome (121412202214121).

The spelling of 100210002202120 in words is "one hundred trillion, two hundred ten billion, two million, two hundred two thousand, one hundred twenty".