102220111122100 has 18 divisors (see below), whose sum is σ = 221817641135174. Its totient is φ = 40888044448800.

The previous prime is 102220111122083. The next prime is 102220111122133. The reversal of 102220111122100 is 1221111022201.

It can be written as a sum of positive squares in 3 ways, for example, as 5439100867344 + 96781010254756 = 2332188^2 + 9837734^2 .

It is a super-3 number, since 3×102220111122100³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 511100555511 + ... + 511100555710.

Almost surely, 2^{102220111122100} is an apocalyptic number.

102220111122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220111122100 is an abundant number, since it is smaller than the sum of its proper divisors (119597530013074).

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

102220111122100 is a wasteful number, since it uses less digits than its factorization.

102220111122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022201111235 (or 1022201111228 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102220111122100 its reverse (1221111022201), we get a palindrome (103441222144301).

The spelling of 102220111122100 in words is "one hundred two trillion, two hundred twenty billion, one hundred eleven million, one hundred twenty-two thousand, one hundred".