221021211020120 has 256 divisors, whose sum is σ = 622557359308800. Its totient is φ = 68956866823680.

The previous prime is 221021211020059. The next prime is 221021211020153. The reversal of 221021211020120 is 21020112120122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2396567 + ... + 21160953.

It is an arithmetic number, because the mean of its divisors is an integer number (2431864684800).

Almost surely, 2^{221021211020120} is an apocalyptic number.

221021211020120 is a gapful number since it is divisible by the number (20) 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 221021211020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311278679654400).

221021211020120 is an abundant number, since it is smaller than the sum of its proper divisors (401536148288680).

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

221021211020120 is a wasteful number, since it uses less digits than its factorization.

221021211020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18764518 (or 18764514 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 221021211020120 its reverse (21020112120122), we get a palindrome (242041323140242).

The spelling of 221021211020120 in words is "two hundred twenty-one trillion, twenty-one billion, two hundred eleven million, twenty thousand, one hundred twenty".