21012211001100 has 288 divisors, whose sum is σ = 68501507622912. Its totient is φ = 4926677760000.

The previous prime is 21012211001057. The next prime is 21012211001137. The reversal of 21012211001100 is 110011221012.

It is a super-2 number, since 2×21012211001100² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178045312 + ... + 178163288.

It is an arithmetic number, because the mean of its divisors is an integer number (237852457024).

Almost surely, 2^{21012211001100} is an apocalyptic number.

21012211001100 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 21012211001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34250753811456).

21012211001100 is an abundant number, since it is smaller than the sum of its proper divisors (47489296621812).

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

21012211001100 is a wasteful number, since it uses less digits than its factorization.

21012211001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119777 (or 119770 counting only the distinct ones).

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

Adding to 21012211001100 its reverse (110011221012), we get a palindrome (21122222222112).

The spelling of 21012211001100 in words is "twenty-one trillion, twelve billion, two hundred eleven million, one thousand, one hundred".