21101113011000 has 256 divisors, whose sum is σ = 72531621227520. Its totient is φ = 5064772800000.

The previous prime is 21101113010977. The next prime is 21101113011007. The reversal of 21101113011000 is 11031110112.

It is a super-2 number, since 2×21101113011000² (a number of 27 digits) contains 22 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 not an unprimeable number, because it can be changed into a prime (21101113011007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 167517 + ... + 6498483.

It is an arithmetic number, because the mean of its divisors is an integer number (283326645420).

Almost surely, 2^{21101113011000} is an apocalyptic number.

21101113011000 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 21101113011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36265810613760).

21101113011000 is an abundant number, since it is smaller than the sum of its proper divisors (51430508216520).

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

21101113011000 is a wasteful number, since it uses less digits than its factorization.

21101113011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6331103 (or 6331089 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 21101113011000 its reverse (11031110112), we get a palindrome (21112144121112).

The spelling of 21101113011000 in words is "twenty-one trillion, one hundred one billion, one hundred thirteen million, eleven thousand".