2101322100 has 72 divisors (see below), whose sum is σ = 6399833440. Its totient is φ = 530858880.

The previous prime is 2101322099. The next prime is 2101322101. The reversal of 2101322100 is 12231012.

It is an interprime number because it is at equal distance from previous prime (2101322099) and next prime (2101322101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101322101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178627 + ... + 190026.

Almost surely, 2^2101322100 is an apocalyptic number.

2101322100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101322100 is an abundant number, since it is smaller than the sum of its proper divisors (4298511340).

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

2101322100 is a wasteful number, since it uses less digits than its factorization.

2101322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368689 (or 368682 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2101322100 is about 45840.1799734687. The cubic root of 2101322100 is about 1280.8478472952.

Adding to 2101322100 its reverse (12231012), we get a palindrome (2113553112).

The spelling of 2101322100 in words is "two billion, one hundred one million, three hundred twenty-two thousand, one hundred".