11210211011000 has 128 divisors (see below), whose sum is σ = 26666371368000. Its totient is φ = 4409839296000.

The previous prime is 11210211010967. The next prime is 11210211011011. The reversal of 11210211011000 is 11011201211.

It is a super-2 number, since 2×11210211011000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 498907766 + ... + 498930234.

Almost surely, 2^{11210211011000} is an apocalyptic number.

11210211011000 is a gapful number since it is divisible by the number (10) 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 11210211011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13333185684000).

11210211011000 is an abundant number, since it is smaller than the sum of its proper divisors (15456160357000).

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

11210211011000 is a wasteful number, since it uses less digits than its factorization.

11210211011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30730 (or 30716 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11210211011000 its reverse (11011201211), we get a palindrome (11221222212211).

The spelling of 11210211011000 in words is "eleven trillion, two hundred ten billion, two hundred eleven million, eleven thousand".