204011402100 has 288 divisors, whose sum is σ = 661478662656. Its totient is φ = 48127833600.

The previous prime is 204011402083. The next prime is 204011402117. The reversal of 204011402100 is 1204110402.

It is an interprime number because it is at equal distance from previous prime (204011402083) and next prime (204011402117).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 204011402100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18345742 + ... + 18356858.

It is an arithmetic number, because the mean of its divisors is an integer number (2296800912).

Almost surely, 2^204011402100 is an apocalyptic number.

204011402100 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 204011402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330739331328).

204011402100 is an abundant number, since it is smaller than the sum of its proper divisors (457467260556).

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

204011402100 is a wasteful number, since it uses less digits than its factorization.

204011402100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11295 (or 11288 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 204011402100 its reverse (1204110402), we get a palindrome (205215512502).

The spelling of 204011402100 in words is "two hundred four billion, eleven million, four hundred two thousand, one hundred".