201055130100 has 720 divisors, whose sum is σ = 736384076736. Its totient is φ = 47029248000.

The previous prime is 201055130093. The next prime is 201055130119. The reversal of 201055130100 is 1031550102.

201055130100 is a `hidden beast` number, since 2 + 0 + 10 + 551 + 3 + 0 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 239 ways as a sum of consecutive naturals, for example, 371635830 + ... + 371636370.

Almost surely, 2^201055130100 is an apocalyptic number.

201055130100 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 201055130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368192038368).

201055130100 is an abundant number, since it is smaller than the sum of its proper divisors (535328946636).

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

201055130100 is a wasteful number, since it uses less digits than its factorization.

201055130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 201055130100 its reverse (1031550102), we get a palindrome (202086680202).

The spelling of 201055130100 in words is "two hundred one billion, fifty-five million, one hundred thirty thousand, one hundred".