10211028520900 has 27 divisors (see below), whose sum is σ = 22158001232269. Its totient is φ = 4084398626480.

The previous prime is 10211028520841. The next prime is 10211028520909. The reversal of 10211028520900 is 902582011201.

The square root of 10211028520900 is 3195470.

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

It can be written as a sum of positive squares in only one way, i.e., 3675970267524 + 6535058253376 = 1917282^2 + 2556376^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10211028520909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31794927 + ... + 32114473.

Almost surely, 2^{10211028520900} is an apocalyptic number.

10211028520900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10211028520900 is the 3195470-th square number.

It is an amenable number.

10211028520900 is an abundant number, since it is smaller than the sum of its proper divisors (11946972711369).

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

10211028520900 is an frugal number, since it uses more digits than its factorization.

10211028520900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639108 (or 319554 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 31.

The spelling of 10211028520900 in words is "ten trillion, two hundred eleven billion, twenty-eight million, five hundred twenty thousand, nine hundred".