10102202122221 has 48 divisors (see below), whose sum is σ = 16669431747072. Its totient is φ = 5835654871200.

The previous prime is 10102202122219. The next prime is 10102202122261. The reversal of 10102202122221 is 12222120220101.

It is a happy number.

10102202122221 is a `hidden beast` number, since 1 + 0 + 10 + 220 + 212 + 2 + 221 = 666.

It is not a de Polignac number, because 10102202122221 - 2¹ = 10102202122219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10102202122194 and 10102202122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102202122261) 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 47 ways as a sum of consecutive naturals, for example, 7194175 + ... + 8482956.

It is an arithmetic number, because the mean of its divisors is an integer number (347279828064).

Almost surely, 2^{10102202122221} is an apocalyptic number.

10102202122221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10102202122221 is a deficient number, since it is larger than the sum of its proper divisors (6567229624851).

10102202122221 is a wasteful number, since it uses less digits than its factorization.

10102202122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15677454 (or 15677451 counting only the distinct ones).

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

Adding to 10102202122221 its reverse (12222120220101), we get a palindrome (22324322342322).

The spelling of 10102202122221 in words is "ten trillion, one hundred two billion, two hundred two million, one hundred twenty-two thousand, two hundred twenty-one".