201521248689124 has 81 divisors (see below), whose sum is σ = 444229732747017. Its totient is φ = 79721669690208.

The previous prime is 201521248689121. The next prime is 201521248689199. The reversal of 201521248689124 is 421986842125102.

The square root of 201521248689124 is 14195818.

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

201521248689124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 29810835604900 + 171710413084224 = 5459930^2 + 13103832^2 .

It is a super-2 number, since 2×201521248689124² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201521248689121) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2583599877 + ... + 2583677875.

Almost surely, 2^{201521248689124} is an apocalyptic number.

201521248689124 is the 14195818-th square number.

It is an amenable number.

201521248689124 is an abundant number, since it is smaller than the sum of its proper divisors (242708484057893).

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

201521248689124 is an frugal number, since it uses more digits than its factorization.

201521248689124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156042 (or 78021 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 55.

The spelling of 201521248689124 in words is "two hundred one trillion, five hundred twenty-one billion, two hundred forty-eight million, six hundred eighty-nine thousand, one hundred twenty-four".