2101001222112 has 192 divisors, whose sum is σ = 5971548119040. Its totient is φ = 642964967424.

The previous prime is 2101001222071. The next prime is 2101001222143. The reversal of 2101001222112 is 2112221001012.

It is a super-2 number, since 2×2101001222112² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2101001222091 and 2101001222100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369306564 + ... + 369312252.

It is an arithmetic number, because the mean of its divisors is an integer number (31101813120).

Almost surely, 2^{2101001222112} 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 2101001222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985774059520).

2101001222112 is an abundant number, since it is smaller than the sum of its proper divisors (3870546896928).

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

2101001222112 is a wasteful number, since it uses less digits than its factorization.

2101001222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7265 (or 7257 counting only the distinct ones).

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

Adding to 2101001222112 its reverse (2112221001012), we get a palindrome (4213222223124).

The spelling of 2101001222112 in words is "two trillion, one hundred one billion, one million, two hundred twenty-two thousand, one hundred twelve".