102122111100200 has 24 divisors (see below), whose sum is σ = 237433908308430. Its totient is φ = 40848844440000.

The previous prime is 102122111100197. The next prime is 102122111100209. The reversal of 102122111100200 is 2001111221201.

It can be written as a sum of positive squares in 3 ways, for example, as 84837620818756 + 17284490281444 = 9210734^2 + 4157462^2 .

It is not an unprimeable number, because it can be changed into a prime (102122111100209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 255305277551 + ... + 255305277950.

Almost surely, 2^{102122111100200} is an apocalyptic number.

102122111100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122111100200 is an abundant number, since it is smaller than the sum of its proper divisors (135311797208230).

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

102122111100200 is a wasteful number, since it uses less digits than its factorization.

102122111100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510610555517 (or 510610555508 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102122111100200 its reverse (2001111221201), we get a palindrome (104123222321401).

The spelling of 102122111100200 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred eleven million, one hundred thousand, two hundred".