210022100100120 has 256 divisors, whose sum is σ = 831745277107200. Its totient is φ = 41073840783360.

The previous prime is 210022100100077. The next prime is 210022100100157. The reversal of 210022100100120 is 21001001220012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 210022100100096 and 210022100100105.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 668362465 + ... + 668676624.

It is an arithmetic number, because the mean of its divisors is an integer number (3249004988700).

Almost surely, 2^{210022100100120} is an apocalyptic number.

210022100100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210022100100120 is an abundant number, since it is smaller than the sum of its proper divisors (621723177007080).

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

210022100100120 is a wasteful number, since it uses less digits than its factorization.

210022100100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337039138 (or 1337039134 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210022100100120 its reverse (21001001220012), we get a palindrome (231023101320132).

The spelling of 210022100100120 in words is "two hundred ten trillion, twenty-two billion, one hundred million, one hundred thousand, one hundred twenty".