10001221211120 has 20 divisors (see below), whose sum is σ = 23252839316040. Its totient is φ = 4000488484416.

The previous prime is 10001221211081. The next prime is 10001221211129. The reversal of 10001221211120 is 2111212210001.

10001221211120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×10001221211120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10001221211095 and 10001221211104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001221211129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62507632490 + ... + 62507632649.

It is an arithmetic number, because the mean of its divisors is an integer number (1162641965802).

Almost surely, 2^{10001221211120} is an apocalyptic number.

10001221211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001221211120 is an abundant number, since it is smaller than the sum of its proper divisors (13251618104920).

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

10001221211120 is a wasteful number, since it uses less digits than its factorization.

10001221211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125015265152 (or 125015265146 counting only the distinct ones).

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

Adding to 10001221211120 its reverse (2111212210001), we get a palindrome (12112433421121).

The spelling of 10001221211120 in words is "ten trillion, one billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty".