12200201220100 has 36 divisors (see below), whose sum is σ = 28031756454324. Its totient is φ = 4593016929280.

The previous prime is 12200201220079. The next prime is 12200201220133. The reversal of 12200201220100 is 102210200221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1609589540416 + 10590611679684 = 1268696^2 + 3254322^2 .

It is a super-3 number, since 3×12200201220100³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3588292777 + ... + 3588296176.

It is an arithmetic number, because the mean of its divisors is an integer number (778659901509).

Almost surely, 2^{12200201220100} is an apocalyptic number.

12200201220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200201220100 is an abundant number, since it is smaller than the sum of its proper divisors (15831555234224).

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

12200201220100 is a wasteful number, since it uses less digits than its factorization.

12200201220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7176588984 (or 7176588977 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12200201220100 its reverse (102210200221), we get a palindrome (12302411420321).

The spelling of 12200201220100 in words is "twelve trillion, two hundred billion, two hundred one million, two hundred twenty thousand, one hundred".