10301032200000 has 336 divisors, whose sum is σ = 34193513975040. Its totient is φ = 2736687360000.

The previous prime is 10301032199993. The next prime is 10301032200029. The reversal of 10301032200000 is 223010301.

It is a happy number.

It is a super-2 number, since 2×10301032200000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161368089 + ... + 161431911.

It is an arithmetic number, because the mean of its divisors is an integer number (101766410640).

Almost surely, 2^{10301032200000} is an apocalyptic number.

10301032200000 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 10301032200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17096756987520).

10301032200000 is an abundant number, since it is smaller than the sum of its proper divisors (23892481775040).

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

10301032200000 is an frugal number, since it uses more digits than its factorization.

10301032200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64132 (or 64102 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10301032200000 its reverse (223010301), we get a palindrome (10301255210301).

The spelling of 10301032200000 in words is "ten trillion, three hundred one billion, thirty-two million, two hundred thousand".