103212220200 has 192 divisors, whose sum is σ = 325077408000. Its totient is φ = 27085194240.

The previous prime is 103212220151. The next prime is 103212220231. The reversal of 103212220200 is 2022212301.

It is a happy number.

It is a super-2 number, since 2×103212220200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103212220200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15022366 + ... + 15029234.

It is an arithmetic number, because the mean of its divisors is an integer number (1693111500).

Almost surely, 2^103212220200 is an apocalyptic number.

103212220200 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 103212220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162538704000).

103212220200 is an abundant number, since it is smaller than the sum of its proper divisors (221865187800).

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

103212220200 is a wasteful number, since it uses less digits than its factorization.

103212220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7284 (or 7275 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 103212220200 its reverse (2022212301), we get a palindrome (105234432501).

The spelling of 103212220200 in words is "one hundred three billion, two hundred twelve million, two hundred twenty thousand, two hundred".