10212165600 has 1152 divisors, whose sum is σ = 45357096960. Its totient is φ = 1934254080.

The previous prime is 10212165533. The next prime is 10212165641. The reversal of 10212165600 is 656121201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95440747 + ... + 95440853.

It is an arithmetic number, because the mean of its divisors is an integer number (39372480).

Almost surely, 2^10212165600 is an apocalyptic number.

10212165600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212165600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22678548480).

10212165600 is an abundant number, since it is smaller than the sum of its proper divisors (35144931360).

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

10212165600 is a wasteful number, since it uses less digits than its factorization.

10212165600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 10212165600 its reverse (656121201), we get a palindrome (10868286801).

The spelling of 10212165600 in words is "ten billion, two hundred twelve million, one hundred sixty-five thousand, six hundred".