10001200121220 has 96 divisors (see below), whose sum is σ = 34913280439296. Its totient is φ = 2078171452800.

The previous prime is 10001200121161. The next prime is 10001200121239. The reversal of 10001200121220 is 2212100210001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10001200121196 and 10001200121205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1082376346 + ... + 1082385585.

It is an arithmetic number, because the mean of its divisors is an integer number (363680004576).

Almost surely, 2^{10001200121220} is an apocalyptic number.

10001200121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001200121220 is an abundant number, since it is smaller than the sum of its proper divisors (24912080318076).

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

10001200121220 is a wasteful number, since it uses less digits than its factorization.

10001200121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164761961 (or 2164761959 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10001200121220 its reverse (2212100210001), we get a palindrome (12213300331221).

The spelling of 10001200121220 in words is "ten trillion, one billion, two hundred million, one hundred twenty-one thousand, two hundred twenty".