10301221332000 has 480 divisors, whose sum is σ = 40032991318320. Its totient is φ = 2585403187200.

The previous prime is 10301221331963. The next prime is 10301221332019. The reversal of 10301221332000 is 23312210301.

10301221332000 is a `hidden beast` number, since 10 + 301 + 2 + 21 + 332 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10906878096 + 10290314453904 = 104436^2 + 3207852^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×10301221332000² (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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4572886 + ... + 6443114.

Almost surely, 2^{10301221332000} is an apocalyptic number.

10301221332000 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 10301221332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20016495659160).

10301221332000 is an abundant number, since it is smaller than the sum of its proper divisors (29731769986320).

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

10301221332000 is a wasteful number, since it uses less digits than its factorization.

10301221332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870283 (or 1870256 counting only the distinct ones).

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

Adding to 10301221332000 its reverse (23312210301), we get a palindrome (10324533542301).

The spelling of 10301221332000 in words is "ten trillion, three hundred one billion, two hundred twenty-one million, three hundred thirty-two thousand".