10001221121120 has 24 divisors (see below), whose sum is σ = 23627884899024. Its totient is φ = 4000488448384.

The previous prime is 10001221121071. The next prime is 10001221121173. The reversal of 10001221121120 is 2112112210001.

It is a junction number, because it is equal to n+sod(n) for n = 10001221121095 and 10001221121104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31253815844 + ... + 31253816163.

It is an arithmetic number, because the mean of its divisors is an integer number (984495204126).

Almost surely, 2^{10001221121120} is an apocalyptic number.

10001221121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001221121120 is an abundant number, since it is smaller than the sum of its proper divisors (13626663777904).

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

10001221121120 is an equidigital number, since it uses as much as digits as its factorization.

10001221121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62507632022 (or 62507632014 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10001221121120 its reverse (2112112210001), we get a palindrome (12113333331121).

The spelling of 10001221121120 in words is "ten trillion, one billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".