10221121211220 has 240 divisors, whose sum is σ = 32155058073600. Its totient is φ = 2717902688256.

The previous prime is 10221121211143. The next prime is 10221121211261. The reversal of 10221121211220 is 2211212112201.

10221121211220 is a `hidden beast` number, since 1 + 0 + 2 + 211 + 21 + 211 + 220 = 666.

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 = 10221121211193 and 10221121211202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1605324477 + ... + 1605330843.

It is an arithmetic number, because the mean of its divisors is an integer number (133979408640).

Almost surely, 2^{10221121211220} is an apocalyptic number.

10221121211220 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 10221121211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16077529036800).

10221121211220 is an abundant number, since it is smaller than the sum of its proper divisors (21933936862380).

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

10221121211220 is a wasteful number, since it uses less digits than its factorization.

10221121211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9044 (or 9033 counting only the distinct ones).

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

Adding to 10221121211220 its reverse (2211212112201), we get a palindrome (12432333323421).

The spelling of 10221121211220 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-one million, two hundred eleven thousand, two hundred twenty".