10332212301000 has 768 divisors, whose sum is σ = 36974942484480. Its totient is φ = 2598220800000.

The previous prime is 10332212300953. The next prime is 10332212301007. The reversal of 10332212301000 is 10321223301.

10332212301000 is a `hidden beast` number, since 1 + 0 + 332 + 2 + 1 + 230 + 100 + 0 = 666.

It is a super-2 number, since 2×10332212301000² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10332212301007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7210196284 + ... + 7210197716.

It is an arithmetic number, because the mean of its divisors is an integer number (48144456360).

Almost surely, 2^{10332212301000} is an apocalyptic number.

10332212301000 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 10332212301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18487471242240).

10332212301000 is an abundant number, since it is smaller than the sum of its proper divisors (26642730183480).

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

10332212301000 is a wasteful number, since it uses less digits than its factorization.

10332212301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10332212301000 its reverse (10321223301), we get a palindrome (10342533524301).

The spelling of 10332212301000 in words is "ten trillion, three hundred thirty-two billion, two hundred twelve million, three hundred one thousand".