21001101101000 has 32 divisors (see below), whose sum is σ = 49142576578680. Its totient is φ = 8400440440000.

The previous prime is 21001101100999. The next prime is 21001101101017. The reversal of 21001101101000 is 10110110012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8222177744356 + 12778923356644 = 2867434^2 + 3574762^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10500549551 + ... + 10500551550.

Almost surely, 2^{21001101101000} is an apocalyptic number.

21001101101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21001101101000 is an abundant number, since it is smaller than the sum of its proper divisors (28141475477680).

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

21001101101000 is a wasteful number, since it uses less digits than its factorization.

21001101101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21001101122 (or 21001101108 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 21001101101000 its reverse (10110110012), we get a palindrome (21011211211012).

The spelling of 21001101101000 in words is "twenty-one trillion, one billion, one hundred one million, one hundred one thousand".