100102132132200 has 864 divisors, whose sum is σ = 380461723813080. Its totient is φ = 23551672320000.

The previous prime is 100102132132133. The next prime is 100102132132217. The reversal of 100102132132200 is 2231231201001.

100102132132200 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 21 + 321 + 322 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 87501918228516 + 12600213903684 = 9354246^2 + 3549678^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3231483112 + ... + 3231514088.

Almost surely, 2^{100102132132200} is an apocalyptic number.

100102132132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100102132132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190230861906540).

100102132132200 is an abundant number, since it is smaller than the sum of its proper divisors (280359591680880).

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

100102132132200 is a wasteful number, since it uses less digits than its factorization.

100102132132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31459 (or 31436 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100102132132200 its reverse (2231231201001), we get a palindrome (102333363333201).

The spelling of 100102132132200 in words is "one hundred trillion, one hundred two billion, one hundred thirty-two million, one hundred thirty-two thousand, two hundred".