2110001021100 has 432 divisors, whose sum is σ = 7833258014400. Its totient is φ = 464814120960.

The previous prime is 2110001021069. The next prime is 2110001021131. The reversal of 2110001021100 is 11201000112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2110001021069) and next prime (2110001021131).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 103946152 + ... + 103966448.

It is an arithmetic number, because the mean of its divisors is an integer number (18132541700).

Almost surely, 2^{2110001021100} is an apocalyptic number.

2110001021100 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 2110001021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916629007200).

2110001021100 is an abundant number, since it is smaller than the sum of its proper divisors (5723256993300).

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

2110001021100 is a wasteful number, since it uses less digits than its factorization.

2110001021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20922 (or 20912 counting only the distinct ones).

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

Adding to 2110001021100 its reverse (11201000112), we get a palindrome (2121202021212).

It can be divided in two parts, 211000 and 1021100, that added together give a square (1232100 = 1110²).

The spelling of 2110001021100 in words is "two trillion, one hundred ten billion, one million, twenty-one thousand, one hundred".