201071528100 has 81 divisors (see below), whose sum is σ = 630289702497. Its totient is φ = 53615486880.

The previous prime is 201071528089. The next prime is 201071528113. The reversal of 201071528100 is 1825170102.

The square root of 201071528100 is 448410.

It is a perfect power (a square), and thus also a powerful number.

201071528100 is a `hidden beast` number, since 20 + 10 + 7 + 1 + 528 + 100 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72385750116 + 128685777984 = 269046^2 + 358728^2 .

It is a super-2 number, since 2×201071528100² (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 26 ways as a sum of consecutive naturals, for example, 13444827 + ... + 13459773.

Almost surely, 2^201071528100 is an apocalyptic number.

201071528100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

201071528100 is the 448410-th square number.

It is an amenable number.

201071528100 is an abundant number, since it is smaller than the sum of its proper divisors (429218174397).

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

201071528100 is an equidigital number, since it uses as much as digits as its factorization.

201071528100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29914 (or 14957 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

Adding to 201071528100 its reverse (1825170102), we get a palindrome (202896698202).

The spelling of 201071528100 in words is "two hundred one billion, seventy-one million, five hundred twenty-eight thousand, one hundred".