103011302022200 has 384 divisors, whose sum is σ = 284693178470400. Its totient is φ = 34169541120000.

The previous prime is 103011302022193. The next prime is 103011302022227. The reversal of 103011302022200 is 2220203110301.

It is a super-2 number, since 2×103011302022200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4966065029 + ... + 4966085771.

It is an arithmetic number, because the mean of its divisors is an integer number (741388485600).

Almost surely, 2^{103011302022200} is an apocalyptic number.

103011302022200 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 103011302022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142346589235200).

103011302022200 is an abundant number, since it is smaller than the sum of its proper divisors (181681876448200).

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

103011302022200 is a wasteful number, since it uses less digits than its factorization.

103011302022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22823 (or 22814 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 103011302022200 its reverse (2220203110301), we get a palindrome (105231505132501).

The spelling of 103011302022200 in words is "one hundred three trillion, eleven billion, three hundred two million, twenty-two thousand, two hundred".