2110021102002 has 128 divisors (see below), whose sum is σ = 4673561131008. Its totient is φ = 629767526400.

The previous prime is 2110021101983. The next prime is 2110021102027. The reversal of 2110021102002 is 2002011200112.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1543540723 + ... + 1543542089.

It is an arithmetic number, because the mean of its divisors is an integer number (36512196336).

Almost surely, 2^{2110021102002} is an apocalyptic number.

2110021102002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110021102002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336780565504).

2110021102002 is an abundant number, since it is smaller than the sum of its proper divisors (2563540029006).

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

2110021102002 is a wasteful number, since it uses less digits than its factorization.

2110021102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464.

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

Adding to 2110021102002 its reverse (2002011200112), we get a palindrome (4112032302114).

The spelling of 2110021102002 in words is "two trillion, one hundred ten billion, twenty-one million, one hundred two thousand, two".