103011022200 has 192 divisors, whose sum is σ = 331827333120. Its totient is φ = 26406720000.

The previous prime is 103011022099. The next prime is 103011022201. The reversal of 103011022200 is 2220110301.

It is a super-2 number, since 2×103011022200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103011022201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2790262 + ... + 2826938.

It is an arithmetic number, because the mean of its divisors is an integer number (1728267360).

Almost surely, 2^103011022200 is an apocalyptic number.

103011022200 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 103011022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165913666560).

103011022200 is an abundant number, since it is smaller than the sum of its proper divisors (228816310920).

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

103011022200 is a wasteful number, since it uses less digits than its factorization.

103011022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36878 (or 36869 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 103011022200 its reverse (2220110301), we get a palindrome (105231132501).

The spelling of 103011022200 in words is "one hundred three billion, eleven million, twenty-two thousand, two hundred".