21011010211100 has 144 divisors (see below), whose sum is σ = 56222867839488. Its totient is φ = 6636922479360.

The previous prime is 21011010211039. The next prime is 21011010211111. The reversal of 21011010211100 is 111201011012.

It is a super-3 number, since 3×21011010211100³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2551937 + ... + 6966663.

Almost surely, 2^{21011010211100} is an apocalyptic number.

21011010211100 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 21011010211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28111433919744).

21011010211100 is an abundant number, since it is smaller than the sum of its proper divisors (35211857628388).

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

21011010211100 is a wasteful number, since it uses less digits than its factorization.

21011010211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4415284 (or 4415277 counting only the distinct ones).

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

Adding to 21011010211100 its reverse (111201011012), we get a palindrome (21122211222112).

The spelling of 21011010211100 in words is "twenty-one trillion, eleven billion, ten million, two hundred eleven thousand, one hundred".