2101121101120 has 28 divisors (see below), whose sum is σ = 5003294622804. Its totient is φ = 840448440320.

The previous prime is 2101121101091. The next prime is 2101121101141. The reversal of 2101121101120 is 211011211012.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1189722473536 + 911398627584 = 1090744^2 + 954672^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2101121101120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3283001401 + ... + 3283002040.

Almost surely, 2^{2101121101120} is an apocalyptic number.

2101121101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101121101120 is an abundant number, since it is smaller than the sum of its proper divisors (2902173521684).

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

2101121101120 is an equidigital number, since it uses as much as digits as its factorization.

2101121101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6566003458 (or 6566003448 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2101121101120 its reverse (211011211012), we get a palindrome (2312132312132).

The spelling of 2101121101120 in words is "two trillion, one hundred one billion, one hundred twenty-one million, one hundred one thousand, one hundred twenty".