2122101112120 has 96 divisors (see below), whose sum is σ = 5250221166960. Its totient is φ = 771383923200.

The previous prime is 2122101112097. The next prime is 2122101112249. The reversal of 2122101112120 is 212111012212.

It is a junction number, because it is equal to n+sod(n) for n = 2122101112094 and 2122101112103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13050115 + ... + 13211725.

Almost surely, 2^{2122101112120} is an apocalyptic number.

2122101112120 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 2122101112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625110583480).

2122101112120 is an abundant number, since it is smaller than the sum of its proper divisors (3128120054840).

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

2122101112120 is a wasteful number, since it uses less digits than its factorization.

2122101112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164357 (or 164342 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2122101112120 its reverse (212111012212), we get a palindrome (2334212124332).

The spelling of 2122101112120 in words is "two trillion, one hundred twenty-two billion, one hundred one million, one hundred twelve thousand, one hundred twenty".