102200002212200 has 48 divisors (see below), whose sum is σ = 238927795311660. Its totient is φ = 40654144512000.

The previous prime is 102200002212137. The next prime is 102200002212281. The reversal of 102200002212200 is 2212200002201.

It can be written as a sum of positive squares in 6 ways, for example, as 25930276783684 + 76269725428516 = 5092178^2 + 8733254^2 .

It is a super-3 number, since 3×102200002212200³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1411566041 + ... + 1411638440.

Almost surely, 2^{102200002212200} is an apocalyptic number.

102200002212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200002212200 is an abundant number, since it is smaller than the sum of its proper divisors (136727793099460).

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

102200002212200 is a wasteful number, since it uses less digits than its factorization.

102200002212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2823204678 (or 2823204669 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102200002212200 its reverse (2212200002201), we get a palindrome (104412202214401).

The spelling of 102200002212200 in words is "one hundred two trillion, two hundred billion, two million, two hundred twelve thousand, two hundred".