21002211110000 has 100 divisors (see below), whose sum is σ = 50857820094312. Its totient is φ = 8399336928000.

The previous prime is 21002211109993. The next prime is 21002211110131. The reversal of 21002211110000 is 1111220012.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-4 number, since 4×21002211110000⁴ (a number of 54 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54879314 + ... + 55260686.

Almost surely, 2^{21002211110000} is an apocalyptic number.

21002211110000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21002211110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25428910047156).

21002211110000 is an abundant number, since it is smaller than the sum of its proper divisors (29855608984312).

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

21002211110000 is an equidigital number, since it uses as much as digits as its factorization.

21002211110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386908 (or 386887 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21002211110000 its reverse (1111220012), we get a palindrome (21003322330012).

The spelling of 21002211110000 in words is "twenty-one trillion, two billion, two hundred eleven million, one hundred ten thousand".