2102101133312 has 96 divisors (see below), whose sum is σ = 4300052702400. Its totient is φ = 1027039248384.

The previous prime is 2102101133267. The next prime is 2102101133387. The reversal of 2102101133312 is 2133311012012.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20126858 + ... + 20231030.

It is an arithmetic number, because the mean of its divisors is an integer number (44792215650).

Almost surely, 2^{2102101133312} 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 2102101133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150026351200).

2102101133312 is an abundant number, since it is smaller than the sum of its proper divisors (2197951569088).

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

2102101133312 is a wasteful number, since it uses less digits than its factorization.

2102101133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104421 (or 104401 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2102101133312 its reverse (2133311012012), we get a palindrome (4235412145324).

The spelling of 2102101133312 in words is "two trillion, one hundred two billion, one hundred one million, one hundred thirty-three thousand, three hundred twelve".