21211002212000 has 96 divisors (see below), whose sum is σ = 52116920738064. Its totient is φ = 8484158592000.

The previous prime is 21211002211999. The next prime is 21211002212003. The reversal of 21211002212000 is 21220011212.

It can be written as a sum of positive squares in 8 ways, for example, as 4398935748496 + 16812066463504 = 2097364^2 + 4100252^2 .

It is a super-2 number, since 2×21211002212000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21211002212003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219843770 + ... + 219940230.

Almost surely, 2^{21211002212000} is an apocalyptic number.

21211002212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211002212000 is an abundant number, since it is smaller than the sum of its proper divisors (30905918526064).

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

21211002212000 is an equidigital number, since it uses as much as digits as its factorization.

21211002212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151459 (or 151441 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21211002212000 its reverse (21220011212), we get a palindrome (21232222223212).

The spelling of 21211002212000 in words is "twenty-one trillion, two hundred eleven billion, two million, two hundred twelve thousand".