10212211211220 has 504 divisors, whose sum is σ = 33401939177880. Its totient is φ = 2621366737920.

The previous prime is 10212211211179. The next prime is 10212211211227. The reversal of 10212211211220 is 2211211221201.

10212211211220 is a `hidden beast` number, since 1 + 0 + 21 + 2 + 211 + 211 + 220 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 856761276996 + 9355449934224 = 925614^2 + 3058668^2 .

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 = 10212211211193 and 10212211211202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212211211227) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4769831350 + ... + 4769833490.

It is an arithmetic number, because the mean of its divisors is an integer number (66273688845).

Almost surely, 2^{10212211211220} is an apocalyptic number.

10212211211220 is a gapful number since it is divisible by the number (10) 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 10212211211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16700969588940).

10212211211220 is an abundant number, since it is smaller than the sum of its proper divisors (23189727966660).

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

10212211211220 is a wasteful number, since it uses less digits than its factorization.

10212211211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615 (or 2569 counting only the distinct ones).

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

Adding to 10212211211220 its reverse (2211211221201), we get a palindrome (12423422432421).

The spelling of 10212211211220 in words is "ten trillion, two hundred twelve billion, two hundred eleven million, two hundred eleven thousand, two hundred twenty".