201029423100 has 288 divisors, whose sum is σ = 683476254720. Its totient is φ = 45111264000.

The previous prime is 201029423083. The next prime is 201029423141. The reversal of 201029423100 is 1324920102.

It is a super-2 number, since 2×201029423100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2310181 + ... + 2395619.

It is an arithmetic number, because the mean of its divisors is an integer number (2373181440).

Almost surely, 2^201029423100 is an apocalyptic number.

201029423100 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 201029423100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341738127360).

201029423100 is an abundant number, since it is smaller than the sum of its proper divisors (482446831620).

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

201029423100 is a wasteful number, since it uses less digits than its factorization.

201029423100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85521 (or 85514 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 201029423100 in words is "two hundred one billion, twenty-nine million, four hundred twenty-three thousand, one hundred".