221202122100120 has 96 divisors (see below), whose sum is σ = 821607882095520. Its totient is φ = 50560485050880.

The previous prime is 221202122100101. The next prime is 221202122100121. The reversal of 221202122100120 is 21001221202122.

It is a happy number.

221202122100120 is a `hidden beast` number, since 2 + 2 + 120 + 212 + 210 + 0 + 120 = 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 = 221202122100093 and 221202122100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221202122100121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 43889307421 + ... + 43889312460.

It is an arithmetic number, because the mean of its divisors is an integer number (8558415438495).

Almost surely, 2^{221202122100120} is an apocalyptic number.

221202122100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221202122100120 is an abundant number, since it is smaller than the sum of its proper divisors (600405759995400).

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

221202122100120 is a wasteful number, since it uses less digits than its factorization.

221202122100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87778619905 (or 87778619898 counting only the distinct ones).

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

Adding to 221202122100120 its reverse (21001221202122), we get a palindrome (242203343302242).

The spelling of 221202122100120 in words is "two hundred twenty-one trillion, two hundred two billion, one hundred twenty-two million, one hundred thousand, one hundred twenty".