102122133200 has 30 divisors (see below), whose sum is σ = 245348425974. Its totient is φ = 40848853120.

The previous prime is 102122133193. The next prime is 102122133241. The reversal of 102122133200 is 2331221201.

It can be written as a sum of positive squares in 3 ways, for example, as 35529234064 + 66592899136 = 188492^2 + 258056^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 127652267 + ... + 127653066.

Almost surely, 2^102122133200 is an apocalyptic number.

102122133200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122133200 is an abundant number, since it is smaller than the sum of its proper divisors (143226292774).

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

102122133200 is a wasteful number, since it uses less digits than its factorization.

102122133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255305351 (or 255305340 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102122133200 its reverse (2331221201), we get a palindrome (104453354401).

It can be divided in two parts, 10212 and 2133200, that added together give a palindrome (2143412).

The spelling of 102122133200 in words is "one hundred two billion, one hundred twenty-two million, one hundred thirty-three thousand, two hundred".