201829100200 has 96 divisors (see below), whose sum is σ = 577541784960. Its totient is φ = 63875577600.

The previous prime is 201829100191. The next prime is 201829100201. The reversal of 201829100200 is 2001928102.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (201829100201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5526556 + ... + 5562955.

It is an arithmetic number, because the mean of its divisors is an integer number (6016060260).

Almost surely, 2^201829100200 is an apocalyptic number.

201829100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201829100200 is an abundant number, since it is smaller than the sum of its proper divisors (375712684760).

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

201829100200 is a wasteful number, since it uses less digits than its factorization.

201829100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11089547 (or 11089538 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 201829100200 in words is "two hundred one billion, eight hundred twenty-nine million, one hundred thousand, two hundred".