2101001121000 has 192 divisors, whose sum is σ = 7140623490000. Its totient is φ = 557171136000.

The previous prime is 2101001120971. The next prime is 2101001121007. The reversal of 2101001121000 is 1211001012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 12184185924 + 2088816935076 = 110382^2 + 1445274^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2101001121007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 984126 + ... + 2273874.

Almost surely, 2^{2101001121000} is an apocalyptic number.

2101001121000 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 2101001121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3570311745000).

2101001121000 is an abundant number, since it is smaller than the sum of its proper divisors (5039622369000).

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

2101001121000 is a wasteful number, since it uses less digits than its factorization.

2101001121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289957 (or 1289940 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2101001121000 its reverse (1211001012), we get a palindrome (2102212122012).

The spelling of 2101001121000 in words is "two trillion, one hundred one billion, one million, one hundred twenty-one thousand".