210011022112122 has 144 divisors (see below), whose sum is σ = 587219903056800. Its totient is φ = 53623769532480.

The previous prime is 210011022112057. The next prime is 210011022112123. The reversal of 210011022112122 is 221211220110012.

210011022112122 is a `hidden beast` number, since 210 + 0 + 110 + 221 + 1 + 2 + 122 = 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 = 210011022112095 and 210011022112104.

It is not an unprimeable number, because it can be changed into a prime (210011022112123) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 182869597 + ... + 184014432.

It is an arithmetic number, because the mean of its divisors is an integer number (4077915993450).

Almost surely, 2^{210011022112122} is an apocalyptic number.

210011022112122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

210011022112122 is an abundant number, since it is smaller than the sum of its proper divisors (377208880944678).

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

210011022112122 is a wasteful number, since it uses less digits than its factorization.

210011022112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366884121 (or 366884111 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 210011022112122 its reverse (221211220110012), we get a palindrome (431222242222134).

The spelling of 210011022112122 in words is "two hundred ten trillion, eleven billion, twenty-two million, one hundred twelve thousand, one hundred twenty-two".