103022002013200 has 120 divisors (see below), whose sum is σ = 248380486345728. Its totient is φ = 41064014883840.

The previous prime is 103022002013141. The next prime is 103022002013201. The reversal of 103022002013200 is 2310200220301.

It is a super-2 number, since 2×103022002013200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (103022002013201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396378489 + ... + 396638311.

Almost surely, 2^{103022002013200} is an apocalyptic number.

103022002013200 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 103022002013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124190243172864).

103022002013200 is an abundant number, since it is smaller than the sum of its proper divisors (145358484332528).

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

103022002013200 is a wasteful number, since it uses less digits than its factorization.

103022002013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263321 (or 263310 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 103022002013200 its reverse (2310200220301), we get a palindrome (105332202233501).

The spelling of 103022002013200 in words is "one hundred three trillion, twenty-two billion, two million, thirteen thousand, two hundred".