21211100122212 has 1152 divisors, whose sum is σ = 77563106869248. Its totient is φ = 4707627724800.

The previous prime is 21211100122183. The next prime is 21211100122259. The reversal of 21211100122212 is 21222100111212.

21211100122212 is a `hidden beast` number, since 21 + 211 + 100 + 122 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6041325537 + ... + 6041329047.

It is an arithmetic number, because the mean of its divisors is an integer number (67329085824).

Almost surely, 2^{21211100122212} is an apocalyptic number.

21211100122212 is a gapful number since it is divisible by the number (22) 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 21211100122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38781553434624).

21211100122212 is an abundant number, since it is smaller than the sum of its proper divisors (56352006747036).

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

21211100122212 is a wasteful number, since it uses less digits than its factorization.

21211100122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3809 (or 3804 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21211100122212 its reverse (21222100111212), we get a palindrome (42433200233424).

It can be divided in two parts, 21211100 and 122212, that added together give a palindrome (21333312).

The spelling of 21211100122212 in words is "twenty-one trillion, two hundred eleven billion, one hundred million, one hundred twenty-two thousand, two hundred twelve".