211221110021220 has 144 divisors (see below), whose sum is σ = 711569341365120. Its totient is φ = 51992888598144.

The previous prime is 211221110021197. The next prime is 211221110021239. The reversal of 211221110021220 is 22120011122112.

211221110021220 is a `hidden beast` number, since 2 + 112 + 211 + 100 + 21 + 220 = 666.

211221110021220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211221110021220² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 211221110021193 and 211221110021202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1157157864 + ... + 1157340383.

It is an arithmetic number, because the mean of its divisors is an integer number (4941453759480).

Almost surely, 2^{211221110021220} is an apocalyptic number.

211221110021220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221110021220 is an abundant number, since it is smaller than the sum of its proper divisors (500348231343900).

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

211221110021220 is a wasteful number, since it uses less digits than its factorization.

211221110021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314498291 (or 2314498270 counting only the distinct ones).

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

Adding to 211221110021220 its reverse (22120011122112), we get a palindrome (233341121143332).

The spelling of 211221110021220 in words is "two hundred eleven trillion, two hundred twenty-one billion, one hundred ten million, twenty-one thousand, two hundred twenty".