2102303332100 has 144 divisors (see below), whose sum is σ = 4777875863040. Its totient is φ = 801403891200.

The previous prime is 2102303332049. The next prime is 2102303332117. The reversal of 2102303332100 is 12333032012.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 882207509 + ... + 882209891.

Almost surely, 2^{2102303332100} is an apocalyptic number.

2102303332100 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 2102303332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388937931520).

2102303332100 is an abundant number, since it is smaller than the sum of its proper divisors (2675572530940).

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

2102303332100 is a wasteful number, since it uses less digits than its factorization.

2102303332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3670 (or 3663 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 2102303332100 its reverse (12333032012), we get a palindrome (2114636364112).

The spelling of 2102303332100 in words is "two trillion, one hundred two billion, three hundred three million, three hundred thirty-two thousand, one hundred".