2101101222012 has 192 divisors, whose sum is σ = 5581318127616. Its totient is φ = 610340290560.

The previous prime is 2101101221971. The next prime is 2101101222019. The reversal of 2101101222012 is 2102221011012.

It is a junction number, because it is equal to n+sod(n) for n = 2101101221982 and 2101101222000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101101222019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97701253 + ... + 97722755.

It is an arithmetic number, because the mean of its divisors is an integer number (29069365248).

Almost surely, 2^{2101101222012} 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 2101101222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790659063808).

2101101222012 is an abundant number, since it is smaller than the sum of its proper divisors (3480216905604).

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

2101101222012 is a wasteful number, since it uses less digits than its factorization.

2101101222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21900 (or 21898 counting only the distinct ones).

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

Adding to 2101101222012 its reverse (2102221011012), we get a palindrome (4203322233024).

The spelling of 2101101222012 in words is "two trillion, one hundred one billion, one hundred one million, two hundred twenty-two thousand, twelve".