10102222120221 has 128 divisors (see below), whose sum is σ = 19907653201920. Its totient is φ = 4901501030400.

The previous prime is 10102222120181. The next prime is 10102222120231. The reversal of 10102222120221 is 12202122220101.

It is a happy number.

10102222120221 is a `hidden beast` number, since 1 + 0 + 10 + 222 + 212 + 0 + 221 = 666.

It is not a de Polignac number, because 10102222120221 - 2⁶ = 10102222120157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10102222120194 and 10102222120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102222120231) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3538965 + ... + 5720901.

It is an arithmetic number, because the mean of its divisors is an integer number (155528540640).

Almost surely, 2^{10102222120221} is an apocalyptic number.

10102222120221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10102222120221 is a deficient number, since it is larger than the sum of its proper divisors (9805431081699).

10102222120221 is a wasteful number, since it uses less digits than its factorization.

10102222120221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182112 (or 2182106 counting only the distinct ones).

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

Adding to 10102222120221 its reverse (12202122220101), we get a palindrome (22304344340322).

The spelling of 10102222120221 in words is "ten trillion, one hundred two billion, two hundred twenty-two million, one hundred twenty thousand, two hundred twenty-one".