10221211112020 has 192 divisors, whose sum is σ = 23222049177600. Its totient is φ = 3767630630400.

The previous prime is 10221211111987. The next prime is 10221211112027. The reversal of 10221211112020 is 2021111212201.

It is a super-2 number, since 2×10221211112020² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221211111985 and 10221211112003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221211112027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 502038601 + ... + 502058959.

It is an arithmetic number, because the mean of its divisors is an integer number (120948172800).

Almost surely, 2^{10221211112020} is an apocalyptic number.

10221211112020 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 10221211112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11611024588800).

10221211112020 is an abundant number, since it is smaller than the sum of its proper divisors (13000838065580).

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

10221211112020 is a wasteful number, since it uses less digits than its factorization.

10221211112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20718 (or 20716 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10221211112020 its reverse (2021111212201), we get a palindrome (12242322324221).

The spelling of 10221211112020 in words is "ten trillion, two hundred twenty-one billion, two hundred eleven million, one hundred twelve thousand, twenty".