10211111011220 has 192 divisors, whose sum is σ = 24736667687424. Its totient is φ = 3468302745600.

The previous prime is 10211111011217. The next prime is 10211111011229. The reversal of 10211111011220 is 2211011111201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10211111011195 and 10211111011204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211111011229) 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, 7037291495 + ... + 7037292945.

It is an arithmetic number, because the mean of its divisors is an integer number (128836810872).

Almost surely, 2^{10211111011220} is an apocalyptic number.

10211111011220 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 10211111011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12368333843712).

10211111011220 is an abundant number, since it is smaller than the sum of its proper divisors (14525556676204).

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

10211111011220 is a wasteful number, since it uses less digits than its factorization.

10211111011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10211111011220 its reverse (2211011111201), we get a palindrome (12422122122421).

The spelling of 10211111011220 in words is "ten trillion, two hundred eleven billion, one hundred eleven million, eleven thousand, two hundred twenty".