10301233220200 has 192 divisors, whose sum is σ = 26005755525120. Its totient is φ = 3772137600000.

The previous prime is 10301233220197. The next prime is 10301233220233. The reversal of 10301233220200 is 202233210301.

It is a super-2 number, since 2×10301233220200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1271596150 + ... + 1271604250.

It is an arithmetic number, because the mean of its divisors is an integer number (135446643360).

Almost surely, 2^{10301233220200} is an apocalyptic number.

10301233220200 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 10301233220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13002877762560).

10301233220200 is an abundant number, since it is smaller than the sum of its proper divisors (15704522304920).

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

10301233220200 is a wasteful number, since it uses less digits than its factorization.

10301233220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12108 (or 12099 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 10301233220200 its reverse (202233210301), we get a palindrome (10503466430501).

The spelling of 10301233220200 in words is "ten trillion, three hundred one billion, two hundred thirty-three million, two hundred twenty thousand, two hundred".