101330223103200 has 1728 divisors, whose sum is σ = 420576736866048. Its totient is φ = 20999430144000.

The previous prime is 101330223103177. The next prime is 101330223103201. The reversal of 101330223103200 is 2301322033101.

It is a super-2 number, since 2×101330223103200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101330223103201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 41074268367 + ... + 41074270833.

It is an arithmetic number, because the mean of its divisors is an integer number (243389315316).

Almost surely, 2^{101330223103200} is an apocalyptic number.

101330223103200 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 101330223103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210288368433024).

101330223103200 is an abundant number, since it is smaller than the sum of its proper divisors (319246513762848).

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

101330223103200 is a wasteful number, since it uses less digits than its factorization.

101330223103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985 (or 2965 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 101330223103200 its reverse (2301322033101), we get a palindrome (103631545136301).

The spelling of 101330223103200 in words is "one hundred one trillion, three hundred thirty billion, two hundred twenty-three million, one hundred three thousand, two hundred".