2110020012100 has 432 divisors, whose sum is σ = 6271230240576. Its totient is φ = 605743488000.

The previous prime is 2110020012091. The next prime is 2110020012103. The reversal of 2110020012100 is 12100200112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2110020012103) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 344040634 + ... + 344046766.

It is an arithmetic number, because the mean of its divisors is an integer number (14516736668).

Almost surely, 2^{2110020012100} is an apocalyptic number.

2110020012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110020012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3135615120288).

2110020012100 is an abundant number, since it is smaller than the sum of its proper divisors (4161210228476).

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

2110020012100 is a wasteful number, since it uses less digits than its factorization.

2110020012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6676 (or 6662 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2110020012100 its reverse (12100200112), we get a palindrome (2122120212212).

The spelling of 2110020012100 in words is "two trillion, one hundred ten billion, twenty million, twelve thousand, one hundred".