211211101101220 has 96 divisors (see below), whose sum is σ = 485443947542400. Its totient is φ = 76553730892800.

The previous prime is 211211101101199. The next prime is 211211101101293. The reversal of 211211101101220 is 22101101112112.

It is a super-2 number, since 2×211211101101220² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211211101101194 and 211211101101203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133371250 + ... + 134945590.

It is an arithmetic number, because the mean of its divisors is an integer number (5056707786900).

Almost surely, 2^{211211101101220} is an apocalyptic number.

211211101101220 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 211211101101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242721973771200).

211211101101220 is an abundant number, since it is smaller than the sum of its proper divisors (274232846441180).

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

211211101101220 is a wasteful number, since it uses less digits than its factorization.

211211101101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576349 (or 1576347 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 211211101101220 its reverse (22101101112112), we get a palindrome (233312202213332).

The spelling of 211211101101220 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred one million, one hundred one thousand, two hundred twenty".