210010122222120 has 288 divisors, whose sum is σ = 785832391674720. Its totient is φ = 48231989464320.

The previous prime is 210010122222097. The next prime is 210010122222127. The reversal of 210010122222120 is 21222221010012.

It is a happy number.

210010122222120 is a `hidden beast` number, since 2 + 100 + 101 + 222 + 221 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 210010122222093 and 210010122222102.

It is not an unprimeable number, because it can be changed into a prime (210010122222127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72023154 + ... + 74882273.

It is an arithmetic number, because the mean of its divisors is an integer number (2728584693315).

Almost surely, 2^{210010122222120} is an apocalyptic number.

210010122222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210010122222120 is an abundant number, since it is smaller than the sum of its proper divisors (575822269452600).

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

210010122222120 is a wasteful number, since it uses less digits than its factorization.

210010122222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146905493 (or 146905467 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 210010122222120 its reverse (21222221010012), we get a palindrome (231232343232132).

The spelling of 210010122222120 in words is "two hundred ten trillion, ten billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty".