102210122021320 has 64 divisors (see below), whose sum is σ = 232444686236400. Its totient is φ = 40445768171520.

The previous prime is 102210122021309. The next prime is 102210122021333. The reversal of 102210122021320 is 23120221012201.

It can be written as a sum of positive squares in 8 ways, for example, as 76458130593156 + 25751991428164 = 8744034^2 + 5074642^2 .

It is a super-3 number, since 3×102210122021320³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15491269 + ... + 21080788.

Almost surely, 2^{102210122021320} is an apocalyptic number.

102210122021320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210122021320 is an abundant number, since it is smaller than the sum of its proper divisors (130234564215080).

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

102210122021320 is a wasteful number, since it uses less digits than its factorization.

102210122021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36572818 (or 36572814 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 102210122021320 its reverse (23120221012201), we get a palindrome (125330343033521).

The spelling of 102210122021320 in words is "one hundred two trillion, two hundred ten billion, one hundred twenty-two million, twenty-one thousand, three hundred twenty".