221202210102120 has 192 divisors, whose sum is σ = 777064594924800. Its totient is φ = 54248852805120.

The previous prime is 221202210102091. The next prime is 221202210102149. The reversal of 221202210102120 is 21201012202122.

It is a happy number.

221202210102120 is a `hidden beast` number, since 221 + 2 + 0 + 221 + 0 + 10 + 212 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (221202210102091) and next prime (221202210102149).

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 = 221202210102093 and 221202210102102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85937310 + ... + 88473869.

It is an arithmetic number, because the mean of its divisors is an integer number (4047211431900).

Almost surely, 2^{221202210102120} is an apocalyptic number.

221202210102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221202210102120 is an abundant number, since it is smaller than the sum of its proper divisors (555862384822680).

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

221202210102120 is a wasteful number, since it uses less digits than its factorization.

221202210102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174411480 (or 174411473 counting only the distinct ones).

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

Adding to 221202210102120 its reverse (21201012202122), we get a palindrome (242403222304242).

The spelling of 221202210102120 in words is "two hundred twenty-one trillion, two hundred two billion, two hundred ten million, one hundred two thousand, one hundred twenty".