21211001002000 has 40 divisors (see below), whose sum is σ = 51288200427672. Its totient is φ = 8484400400000.

The previous prime is 21211001001923. The next prime is 21211001002001. The reversal of 21211001002000 is 20010011212.

It can be written as a sum of positive squares in 4 ways, for example, as 1659181000464 + 19551820001536 = 1288092^2 + 4421744^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (21211001002001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5302748251 + ... + 5302752250.

Almost surely, 2^{21211001002000} is an apocalyptic number.

21211001002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211001002000 is an abundant number, since it is smaller than the sum of its proper divisors (30077199425672).

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

21211001002000 is a wasteful number, since it uses less digits than its factorization.

21211001002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10605500524 (or 10605500508 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21211001002000 its reverse (20010011212), we get a palindrome (21231011013212).

The spelling of 21211001002000 in words is "twenty-one trillion, two hundred eleven billion, one million, two thousand".