202221020120112 has 540 divisors, whose sum is σ = 705674793285696. Its totient is φ = 55913602026240.

The previous prime is 202221020120101. The next prime is 202221020120129. The reversal of 202221020120112 is 211021020122202.

It is a happy number.

202221020120112 is a `hidden beast` number, since 20 + 22 + 210 + 201 + 201 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 158824458 + ... + 160092630.

Almost surely, 2^{202221020120112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202221020120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352837396642848).

202221020120112 is an abundant number, since it is smaller than the sum of its proper divisors (503453773165584).

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

202221020120112 is an equidigital number, since it uses as much as digits as its factorization.

202221020120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268250 (or 1268216 counting only the distinct ones).

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

Adding to 202221020120112 its reverse (211021020122202), we get a palindrome (413242040242314).

The spelling of 202221020120112 in words is "two hundred two trillion, two hundred twenty-one billion, twenty million, one hundred twenty thousand, one hundred twelve".