102122002200200 has 48 divisors (see below), whose sum is σ = 237626848246500. Its totient is φ = 40815563352320.

The previous prime is 102122002200173. The next prime is 102122002200223. The reversal of 102122002200200 is 2002200221201.

It can be written as a sum of positive squares in 6 ways, for example, as 47838497905444 + 54283504294756 = 6916538^2 + 7367734^2 .

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, 207488135 + ... + 207979734.

Almost surely, 2^{102122002200200} is an apocalyptic number.

102122002200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122002200200 is an abundant number, since it is smaller than the sum of its proper divisors (135504846046300).

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

102122002200200 is a wasteful number, since it uses less digits than its factorization.

102122002200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415469114 (or 415469105 counting only the distinct ones).

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

Adding to 102122002200200 its reverse (2002200221201), we get a palindrome (104124202421401).

The spelling of 102122002200200 in words is "one hundred two trillion, one hundred twenty-two billion, two million, two hundred thousand, two hundred".