21100001121000 has 160 divisors (see below), whose sum is σ = 73756226423880. Its totient is φ = 5626666944000.

The previous prime is 21100001120971. The next prime is 21100001121007. The reversal of 21100001121000 is 12110000112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2089337266116 + 19010663854884 = 1445454^2 + 4360122^2 .

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 (21100001121007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 130165921 + ... + 130327920.

Almost surely, 2^{21100001121000} is an apocalyptic number.

21100001121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100001121000 is an abundant number, since it is smaller than the sum of its proper divisors (52656225302880).

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

21100001121000 is a wasteful number, since it uses less digits than its factorization.

21100001121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260493874 (or 260493851 counting only the distinct ones).

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

Adding to 21100001121000 its reverse (12110000112), we get a palindrome (21112111121112).

The spelling of 21100001121000 in words is "twenty-one trillion, one hundred billion, one million, one hundred twenty-one thousand".