201820873100 has 216 divisors, whose sum is σ = 551693022720. Its totient is φ = 62729251200.

The previous prime is 201820873073. The next prime is 201820873153. The reversal of 201820873100 is 1378028102.

It is a super-2 number, since 2×201820873100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32098157 + ... + 32104443.

Almost surely, 2^201820873100 is an apocalyptic number.

201820873100 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 201820873100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275846511360).

201820873100 is an abundant number, since it is smaller than the sum of its proper divisors (349872149620).

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

201820873100 is a wasteful number, since it uses less digits than its factorization.

201820873100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6709 (or 6691 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The spelling of 201820873100 in words is "two hundred one billion, eight hundred twenty million, eight hundred seventy-three thousand, one hundred".