102232523220100 has 729 divisors, whose sum is σ = 287484903188973. Its totient is φ = 31449285504000.

The previous prime is 102232523220083. The next prime is 102232523220101. The reversal of 102232523220100 is 1022325232201.

The square root of 102232523220100 is 10111010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 92647901642884 + 9584621577216 = 9625378^2 + 3095904^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (102232523220101) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 377241782965 + ... + 377241783235.

Almost surely, 2^{102232523220100} is an apocalyptic number.

102232523220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102232523220100 is the 10111010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102232523220100

102232523220100 is an abundant number, since it is smaller than the sum of its proper divisors (185252379968873).

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

102232523220100 is a wasteful number, since it uses less digits than its factorization.

102232523220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

102232523220100 divided by its sum of digits (25) gives a square (4089300928804 = 2022202²).

Adding to 102232523220100 its reverse (1022325232201), we get a palindrome (103254848452301).

102232523220100 divided by its reverse (1022325232201) gives a square (100 = 10²).

The spelling of 102232523220100 in words is "one hundred two trillion, two hundred thirty-two billion, five hundred twenty-three million, two hundred twenty thousand, one hundred".