21221020011000 has 128 divisors (see below), whose sum is σ = 66211161120000. Its totient is φ = 5658803740800.

The previous prime is 21221020010987. The next prime is 21221020011013. The reversal of 21221020011000 is 11002012212.

It is an interprime number because it is at equal distance from previous prime (21221020010987) and next prime (21221020011013).

It is a super-4 number, since 4×21221020011000⁴ (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 234443751 + ... + 234534249.

It is an arithmetic number, because the mean of its divisors is an integer number (517274696250).

Almost surely, 2^{21221020011000} is an apocalyptic number.

21221020011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221020011000 is an abundant number, since it is smaller than the sum of its proper divisors (44990141109000).

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

21221020011000 is a wasteful number, since it uses less digits than its factorization.

21221020011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168686 (or 168672 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21221020011000 its reverse (11002012212), we get a palindrome (21232022023212).

The spelling of 21221020011000 in words is "twenty-one trillion, two hundred twenty-one billion, twenty million, eleven thousand".