10120221200000 has 96 divisors (see below), whose sum is σ = 25200110800620. Its totient is φ = 4048088320000.

The previous prime is 10120221199981. The next prime is 10120221200003. The reversal of 10120221200000 is 212202101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2298086211136 + 7822134988864 = 1515944^2 + 2796808^2 .

It is not an unprimeable number, because it can be changed into a prime (10120221200003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12250277 + ... + 13050276.

Almost surely, 2^{10120221200000} is an apocalyptic number.

10120221200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120221200000 is an abundant number, since it is smaller than the sum of its proper divisors (15079889600620).

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

10120221200000 is an frugal number, since it uses more digits than its factorization.

10120221200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25300592 (or 25300560 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10120221200000 its reverse (212202101), we get a palindrome (10120433402101).

The spelling of 10120221200000 in words is "ten trillion, one hundred twenty billion, two hundred twenty-one million, two hundred thousand".