2100211122012 has 96 divisors (see below), whose sum is σ = 5150078599680. Its totient is φ = 664861612800.

The previous prime is 2100211122007. The next prime is 2100211122041. The reversal of 2100211122012 is 2102211120012.

It is a junction number, because it is equal to n+sod(n) for n = 2100211121982 and 2100211122000.

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, 32228262 + ... + 32293362.

It is an arithmetic number, because the mean of its divisors is an integer number (53646652080).

Almost surely, 2^{2100211122012} 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 2100211122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575039299840).

2100211122012 is an abundant number, since it is smaller than the sum of its proper divisors (3049867477668).

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

2100211122012 is a wasteful number, since it uses less digits than its factorization.

2100211122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65963 (or 65961 counting only the distinct ones).

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

Adding to 2100211122012 its reverse (2102211120012), we get a palindrome (4202422242024).

The spelling of 2100211122012 in words is "two trillion, one hundred billion, two hundred eleven million, one hundred twenty-two thousand, twelve".