10211795448100 has 81 divisors (see below), whose sum is σ = 22274956390323. Its totient is φ = 4063563373440.

The previous prime is 10211795448077. The next prime is 10211795448131. The reversal of 10211795448100 is 184459711201.

The square root of 10211795448100 is 3195590.

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

It can be written as a sum of positive squares in 4 ways, for example, as 476047561444 + 9735747886656 = 689962^2 + 3120216^2 .

It is a super-2 number, since 2×10211795448100² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7126164984 + ... + 7126166416.

Almost surely, 2^{10211795448100} is an apocalyptic number.

10211795448100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10211795448100 is the 3195590-th square number.

It is an amenable number.

10211795448100 is an abundant number, since it is smaller than the sum of its proper divisors (12063160942223).

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

10211795448100 is an frugal number, since it uses more digits than its factorization.

10211795448100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 43.

The spelling of 10211795448100 in words is "ten trillion, two hundred eleven billion, seven hundred ninety-five million, four hundred forty-eight thousand, one hundred".