21003002211072 has 288 divisors, whose sum is σ = 64049018245632. Its totient is φ = 5985388265472.

The previous prime is 21003002211007. The next prime is 21003002211073. The reversal of 21003002211072 is 27011220030012.

It is a super-2 number, since 2×21003002211072² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (21003002211073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5681091528 + ... + 5681095224.

It is an arithmetic number, because the mean of its divisors is an integer number (222392424464).

Almost surely, 2^{21003002211072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21003002211072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32024509122816).

21003002211072 is an abundant number, since it is smaller than the sum of its proper divisors (43046016034560).

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

21003002211072 is a wasteful number, since it uses less digits than its factorization.

21003002211072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6163 (or 6149 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Adding to 21003002211072 its reverse (27011220030012), we get a palindrome (48014222241084).

The spelling of 21003002211072 in words is "twenty-one trillion, three billion, two million, two hundred eleven thousand, seventy-two".