2100212120104 has 64 divisors (see below), whose sum is σ = 4615108122240. Its totient is φ = 877251029760.

The previous prime is 2100212120101. The next prime is 2100212120131. The reversal of 2100212120104 is 4010212120012.

It is not an unprimeable number, because it can be changed into a prime (2100212120101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164122 + ... + 2056054.

It is an arithmetic number, because the mean of its divisors is an integer number (72111064410).

Almost surely, 2^{2100212120104} 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 2100212120104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307554061120).

2100212120104 is an abundant number, since it is smaller than the sum of its proper divisors (2514896002136).

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

2100212120104 is a wasteful number, since it uses less digits than its factorization.

2100212120104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892450 (or 1892446 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2100212120104 its reverse (4010212120012), we get a palindrome (6110424240116).

It can be divided in two parts, 21002121 and 20104, that added together give a square (21022225 = 4585²).

The spelling of 2100212120104 in words is "two trillion, one hundred billion, two hundred twelve million, one hundred twenty thousand, one hundred four".