10212133011300 has 864 divisors, whose sum is σ = 37490347964160. Its totient is φ = 2299846348800.

The previous prime is 10212133011293. The next prime is 10212133011313. The reversal of 10212133011300 is 311033121201.

10212133011300 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 21 + 330 + 11 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9208415146 + ... + 9208416254.

It is an arithmetic number, because the mean of its divisors is an integer number (43391606440).

Almost surely, 2^{10212133011300} is an apocalyptic number.

10212133011300 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 10212133011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18745173982080).

10212133011300 is an abundant number, since it is smaller than the sum of its proper divisors (27278214952860).

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

10212133011300 is a wasteful number, since it uses less digits than its factorization.

10212133011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10212133011300 its reverse (311033121201), we get a palindrome (10523166132501).

The spelling of 10212133011300 in words is "ten trillion, two hundred twelve billion, one hundred thirty-three million, eleven thousand, three hundred".