202102221221100 has 216 divisors, whose sum is σ = 637821100399392. Its totient is φ = 53524612224000.

The previous prime is 202102221221039. The next prime is 202102221221101. The reversal of 202102221221100 is 1122122201202.

It is a happy number.

202102221221100 is a `hidden beast` number, since 2 + 0 + 210 + 2 + 221 + 221 + 10 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (202102221221101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 594120664 + ... + 594460736.

It is an arithmetic number, because the mean of its divisors is an integer number (2952875464812).

Almost surely, 2^{202102221221100} is an apocalyptic number.

202102221221100 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 202102221221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318910550199696).

202102221221100 is an abundant number, since it is smaller than the sum of its proper divisors (435718879178292).

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

202102221221100 is a wasteful number, since it uses less digits than its factorization.

202102221221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344617 (or 344607 counting only the distinct ones).

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

Adding to 202102221221100 its reverse (1122122201202), we get a palindrome (203224343422302).

The spelling of 202102221221100 in words is "two hundred two trillion, one hundred two billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred".