2101021100 has 72 divisors (see below), whose sum is σ = 4622027088. Its totient is φ = 828921600.

The previous prime is 2101021073. The next prime is 2101021127. The reversal of 2101021100 is 11201012.

It is an interprime number because it is at equal distance from previous prime (2101021073) and next prime (2101021127).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2558690 + ... + 2559510.

Almost surely, 2^2101021100 is an apocalyptic number.

2101021100 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 2101021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311013544).

2101021100 is an abundant number, since it is smaller than the sum of its proper divisors (2521005988).

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

2101021100 is a wasteful number, since it uses less digits than its factorization.

2101021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2101021100 is about 45836.8967099650. The cubic root of 2101021100 is about 1280.7866868141.

Adding to 2101021100 its reverse (11201012), we get a palindrome (2112222112).

The spelling of 2101021100 in words is "two billion, one hundred one million, twenty-one thousand, one hundred".