210122100002112 has 224 divisors, whose sum is σ = 619661619907200. Its totient is φ = 62448216440832.

The previous prime is 210122100002077. The next prime is 210122100002147. The reversal of 210122100002112 is 211200001221012.

It is an interprime number because it is at equal distance from previous prime (210122100002077) and next prime (210122100002147).

It is a junction number, because it is equal to n+sod(n) for n = 210122100002091 and 210122100002100.

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 31 ways as a sum of consecutive naturals, for example, 1569496008 + ... + 1569629880.

Almost surely, 2^{210122100002112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210122100002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309830809953600).

210122100002112 is an abundant number, since it is smaller than the sum of its proper divisors (409539519905088).

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

210122100002112 is a wasteful number, since it uses less digits than its factorization.

210122100002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159233 (or 159223 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 210122100002112 its reverse (211200001221012), we get a palindrome (421322101223124).

The spelling of 210122100002112 in words is "two hundred ten trillion, one hundred twenty-two billion, one hundred million, two thousand, one hundred twelve".