10102122133221 has 16 divisors (see below), whose sum is σ = 13714624440000. Its totient is φ = 6612576165120.

The previous prime is 10102122133133. The next prime is 10102122133223. The reversal of 10102122133221 is 12233122120101.

It is not a de Polignac number, because 10102122133221 - 2¹⁰ = 10102122132197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102122133223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48922596 + ... + 49128653.

It is an arithmetic number, because the mean of its divisors is an integer number (857164027500).

Almost surely, 2^{10102122133221} is an apocalyptic number.

It is an amenable number.

10102122133221 is a deficient number, since it is larger than the sum of its proper divisors (3612502306779).

10102122133221 is an equidigital number, since it uses as much as digits as its factorization.

10102122133221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98051876.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10102122133221 its reverse (12233122120101), we get a palindrome (22335244253322).

The spelling of 10102122133221 in words is "ten trillion, one hundred two billion, one hundred twenty-two million, one hundred thirty-three thousand, two hundred twenty-one".