10211222012220 has 192 divisors, whose sum is σ = 32546117520000. Its totient is φ = 2656330260480.

The previous prime is 10211222012219. The next prime is 10211222012221. The reversal of 10211222012220 is 2221022211201.

It is a happy number.

10211222012220 is a `hidden beast` number, since 1 + 0 + 211 + 2 + 220 + 12 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (10211222012219) and next prime (10211222012221).

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 = 10211222012193 and 10211222012202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211222012221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 448301472 + ... + 448324248.

It is an arithmetic number, because the mean of its divisors is an integer number (169511028750).

Almost surely, 2^{10211222012220} is an apocalyptic number.

10211222012220 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 10211222012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16273058760000).

10211222012220 is an abundant number, since it is smaller than the sum of its proper divisors (22334895507780).

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

10211222012220 is a wasteful number, since it uses less digits than its factorization.

10211222012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43085 (or 43077 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10211222012220 its reverse (2221022211201), we get a palindrome (12432244223421).

The spelling of 10211222012220 in words is "ten trillion, two hundred eleven billion, two hundred twenty-two million, twelve thousand, two hundred twenty".