11001021021210 has 128 divisors (see below), whose sum is σ = 29195207405568. Its totient is φ = 2630763360000.

The previous prime is 11001021021173. The next prime is 11001021021223. The reversal of 11001021021210 is 1212012010011.

11001021021210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11001021021210² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8423457 + ... + 9641403.

It is an arithmetic number, because the mean of its divisors is an integer number (228087557856).

Almost surely, 2^{11001021021210} is an apocalyptic number.

11001021021210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001021021210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14597603702784).

11001021021210 is an abundant number, since it is smaller than the sum of its proper divisors (18194186384358).

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

11001021021210 is a wasteful number, since it uses less digits than its factorization.

11001021021210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218340.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11001021021210 its reverse (1212012010011), we get a palindrome (12213033031221).

The spelling of 11001021021210 in words is "eleven trillion, one billion, twenty-one million, twenty-one thousand, two hundred ten".