2101121122320 has 480 divisors, whose sum is σ = 8160851672064. Its totient is φ = 479607091200.

The previous prime is 2101121122301. The next prime is 2101121122349. The reversal of 2101121122320 is 232211211012.

2101121122320 is a `hidden beast` number, since 2 + 101 + 121 + 122 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2101121122293 and 2101121122302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8968594 + ... + 9199886.

Almost surely, 2^{2101121122320} is an apocalyptic number.

2101121122320 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 2101121122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080425836032).

2101121122320 is an abundant number, since it is smaller than the sum of its proper divisors (6059730549744).

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

2101121122320 is a wasteful number, since it uses less digits than its factorization.

2101121122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231391 (or 231382 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2101121122320 its reverse (232211211012), we get a palindrome (2333332333332).

The spelling of 2101121122320 in words is "two trillion, one hundred one billion, one hundred twenty-one million, one hundred twenty-two thousand, three hundred twenty".