2101210022112 has 192 divisors, whose sum is σ = 5869500646464. Its totient is φ = 655896084480.

The previous prime is 2101210022101. The next prime is 2101210022113. The reversal of 2101210022112 is 2112200121012.

It is a junction number, because it is equal to n+sod(n) for n = 2101210022091 and 2101210022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101210022113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286537998 + ... + 286545330.

It is an arithmetic number, because the mean of its divisors is an integer number (30570315867).

Almost surely, 2^{2101210022112} 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 2101210022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2934750323232).

2101210022112 is an abundant number, since it is smaller than the sum of its proper divisors (3768290624352).

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

2101210022112 is a wasteful number, since it uses less digits than its factorization.

2101210022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8221 (or 8213 counting only the distinct ones).

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

Adding to 2101210022112 its reverse (2112200121012), we get a palindrome (4213410143124).

The spelling of 2101210022112 in words is "two trillion, one hundred one billion, two hundred ten million, twenty-two thousand, one hundred twelve".