202221021012120 has 384 divisors, whose sum is σ = 721806106694400. Its totient is φ = 48693394252800.

The previous prime is 202221021012103. The next prime is 202221021012187. The reversal of 202221021012120 is 21210120122202.

It is a happy number.

202221021012120 is a `hidden beast` number, since 20 + 2 + 221 + 0 + 210 + 1 + 212 + 0 = 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 = 202221021012093 and 202221021012102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 352307679 + ... + 352881201.

It is an arithmetic number, because the mean of its divisors is an integer number (1879703402850).

Almost surely, 2^{202221021012120} is an apocalyptic number.

202221021012120 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 202221021012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360903053347200).

202221021012120 is an abundant number, since it is smaller than the sum of its proper divisors (519585085682280).

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

202221021012120 is a wasteful number, since it uses less digits than its factorization.

202221021012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574151 (or 574144 counting only the distinct ones).

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

Adding to 202221021012120 its reverse (21210120122202), we get a palindrome (223431141134322).

The spelling of 202221021012120 in words is "two hundred two trillion, two hundred twenty-one billion, twenty-one million, twelve thousand, one hundred twenty".