2110002100002 has 112 divisors (see below), whose sum is σ = 4762260529152. Its totient is φ = 700830273600.

The previous prime is 2110002099937. The next prime is 2110002100007. The reversal of 2110002100002 is 2000012000112.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2110002100007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 531886623 + ... + 531890589.

It is an arithmetic number, because the mean of its divisors is an integer number (42520183296).

Almost surely, 2^{2110002100002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110002100002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381130264576).

2110002100002 is an abundant number, since it is smaller than the sum of its proper divisors (2652258429150).

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

2110002100002 is an equidigital number, since it uses as much as digits as its factorization.

2110002100002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5195 (or 5180 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2110002100002 its reverse (2000012000112), we get a palindrome (4110014100114).

The spelling of 2110002100002 in words is "two trillion, one hundred ten billion, two million, one hundred thousand, two".