10301222301000 has 768 divisors, whose sum is σ = 34943372006400. Its totient is φ = 2517405696000.

The previous prime is 10301222300989. The next prime is 10301222301037. The reversal of 10301222301000 is 10322210301.

It is a super-2 number, since 2×10301222301000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42743660880 + ... + 42743661120.

It is an arithmetic number, because the mean of its divisors is an integer number (45499182300).

Almost surely, 2^{10301222301000} is an apocalyptic number.

10301222301000 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 10301222301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17471686003200).

10301222301000 is an abundant number, since it is smaller than the sum of its proper divisors (24642149705400).

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

10301222301000 is a wasteful number, since it uses less digits than its factorization.

10301222301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10301222301000 its reverse (10322210301), we get a palindrome (10311544511301).

The spelling of 10301222301000 in words is "ten trillion, three hundred one billion, two hundred twenty-two million, three hundred one thousand".