201215044900 has 81 divisors (see below), whose sum is σ = 451488073617. Its totient is φ = 77835866400.

The previous prime is 201215044897. The next prime is 201215044903. The reversal of 201215044900 is 9440512102.

The square root of 201215044900 is 448570.

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

It is an interprime number because it is at equal distance from previous prime (201215044897) and next prime (201215044903).

It can be written as a sum of positive squares in only one way, i.e., 72437416164 + 128777628736 = 269142^2 + 358856^2 .

It is not an unprimeable number, because it can be changed into a prime (201215044903) 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, 139055977 + ... + 139057423.

Almost surely, 2^201215044900 is an apocalyptic number.

201215044900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

201215044900 is the 448570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201215044900

201215044900 is an abundant number, since it is smaller than the sum of its proper divisors (250273028717).

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

201215044900 is an equidigital number, since it uses as much as digits as its factorization.

201215044900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 201215044900 in words is "two hundred one billion, two hundred fifteen million, forty-four thousand, nine hundred".