21211112000100 has 216 divisors, whose sum is σ = 68808360545568. Its totient is φ = 5003111347200.

The previous prime is 21211112000077. The next prime is 21211112000153. The reversal of 21211112000100 is 100021111212.

It is a super-2 number, since 2×21211112000100² (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 71 ways as a sum of consecutive naturals, for example, 2170144 + ... + 6865256.

It is an arithmetic number, because the mean of its divisors is an integer number (318557224748).

Almost surely, 2^{21211112000100} is an apocalyptic number.

21211112000100 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 21211112000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34404180272784).

21211112000100 is an abundant number, since it is smaller than the sum of its proper divisors (47597248545468).

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

21211112000100 is a wasteful number, since it uses less digits than its factorization.

21211112000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4695215 (or 4695171 counting only the distinct ones).

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

Adding to 21211112000100 its reverse (100021111212), we get a palindrome (21311133111312).

The spelling of 21211112000100 in words is "twenty-one trillion, two hundred eleven billion, one hundred twelve million, one hundred", and thus it is an aban number.