2201121101120 has 112 divisors (see below), whose sum is σ = 5472115608960. Its totient is φ = 841735673856.

The previous prime is 2201121101111. The next prime is 2201121101147. The reversal of 2201121101120 is 211011211022.

It is a junction number, because it is equal to n+sod(n) for n = 2201121101095 and 2201121101104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14445491 + ... + 14597069.

It is an arithmetic number, because the mean of its divisors is an integer number (48858175080).

Almost surely, 2^{2201121101120} is an apocalyptic number.

2201121101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201121101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736057804480).

2201121101120 is an abundant number, since it is smaller than the sum of its proper divisors (3270994507840).

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

2201121101120 is a wasteful number, since it uses less digits than its factorization.

2201121101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153592 (or 153582 counting only the distinct ones).

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

Adding to 2201121101120 its reverse (211011211022), we get a palindrome (2412132312142).

The spelling of 2201121101120 in words is "two trillion, two hundred one billion, one hundred twenty-one million, one hundred one thousand, one hundred twenty".