2100021100110 has 192 divisors, whose sum is σ = 5666937614208. Its totient is φ = 539116342272.

The previous prime is 2100021100091. The next prime is 2100021100117. The reversal of 2100021100110 is 110011200012.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2100021100092 and 2100021100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100021100117) 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 95 ways as a sum of consecutive naturals, for example, 594399904 + ... + 594403436.

It is an arithmetic number, because the mean of its divisors is an integer number (29515300074).

Almost surely, 2^{2100021100110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100021100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833468807104).

2100021100110 is an abundant number, since it is smaller than the sum of its proper divisors (3566916514098).

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

2100021100110 is a wasteful number, since it uses less digits than its factorization.

2100021100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5419 (or 5416 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2100021100110 its reverse (110011200012), we get a palindrome (2210032300122).

The spelling of 2100021100110 in words is "two trillion, one hundred billion, twenty-one million, one hundred thousand, one hundred ten".