10295948212900 has 243 divisors, whose sum is σ = 27182680640451. Its totient is φ = 3374865204480.

The previous prime is 10295948212813. The next prime is 10295948213011. The reversal of 10295948212900 is 921284959201.

It is a happy number.

The square root of 10295948212900 is 3208730.

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 101005738596 + 10194942474304 = 317814^2 + 3192952^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5166054304 + ... + 5166056296.

Almost surely, 2^{10295948212900} is an apocalyptic number.

10295948212900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10295948212900 is the 3208730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10295948212900

10295948212900 is an abundant number, since it is smaller than the sum of its proper divisors (16886732427551).

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

10295948212900 is an equidigital number, since it uses as much as digits as its factorization.

10295948212900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4060 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 52.

The spelling of 10295948212900 in words is "ten trillion, two hundred ninety-five billion, nine hundred forty-eight million, two hundred twelve thousand, nine hundred".