10102011120221 has 8 divisors (see below), whose sum is σ = 10105860855384. Its totient is φ = 10098162018880.

The previous prime is 10102011120217. The next prime is 10102011120277. The reversal of 10102011120221 is 12202111020101.

It can be written as a sum of positive squares in 4 ways, for example, as 82950336121 + 10019060784100 = 288011^2 + 3165290^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10102011120221 - 2² = 10102011120217 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10102011120196 and 10102011120205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102011110221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33037391 + ... + 33341763.

It is an arithmetic number, because the mean of its divisors is an integer number (1263232606923).

Almost surely, 2^{10102011120221} is an apocalyptic number.

It is an amenable number.

10102011120221 is a deficient number, since it is larger than the sum of its proper divisors (3849735163).

10102011120221 is an equidigital number, since it uses as much as digits as its factorization.

10102011120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316911.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10102011120221 its reverse (12202111020101), we get a palindrome (22304122140322).

The spelling of 10102011120221 in words is "ten trillion, one hundred two billion, eleven million, one hundred twenty thousand, two hundred twenty-one".