103222100203200 has 504 divisors, whose sum is σ = 401140005277440. Its totient is φ = 24966521395200.

The previous prime is 103222100203181. The next prime is 103222100203249. The reversal of 103222100203200 is 2302001222301.

103222100203200 is a `hidden beast` number, since 1 + 0 + 3 + 222 + 100 + 20 + 320 + 0 = 666.

It is a super-2 number, since 2×103222100203200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68795397 + ... + 70279803.

Almost surely, 2^{103222100203200} is an apocalyptic number.

103222100203200 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 103222100203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200570002638720).

103222100203200 is an abundant number, since it is smaller than the sum of its proper divisors (297917905074240).

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

103222100203200 is a wasteful number, since it uses less digits than its factorization.

103222100203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484885 (or 1484867 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103222100203200 its reverse (2302001222301), we get a palindrome (105524101425501).

The spelling of 103222100203200 in words is "one hundred three trillion, two hundred twenty-two billion, one hundred million, two hundred three thousand, two hundred".