2100002102112 has 96 divisors (see below), whose sum is σ = 5606719776000. Its totient is φ = 688040299008.

The previous prime is 2100002102027. The next prime is 2100002102153. The reversal of 2100002102112 is 2112012000012.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48683178 + ... + 48726294.

It is an arithmetic number, because the mean of its divisors is an integer number (58403331000).

Almost surely, 2^{2100002102112} 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 2100002102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803359888000).

2100002102112 is an abundant number, since it is smaller than the sum of its proper divisors (3506717673888).

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

2100002102112 is a wasteful number, since it uses less digits than its factorization.

2100002102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51788 (or 51780 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2100002102112 its reverse (2112012000012), we get a palindrome (4212014102124).

The spelling of 2100002102112 in words is "two trillion, one hundred billion, two million, one hundred two thousand, one hundred twelve".