100102133013332 has 6 divisors (see below), whose sum is σ = 175178732773338. Its totient is φ = 50051066506664.

The previous prime is 100102133013331. The next prime is 100102133013349. The reversal of 100102133013332 is 233310331201001.

It can be written as a sum of positive squares in only one way, i.e., 94552169754436 + 5549963258896 = 9723794^2 + 2355836^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100102133013298 and 100102133013307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102133013331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12512766626663 + ... + 12512766626670.

It is an arithmetic number, because the mean of its divisors is an integer number (29196455462223).

Almost surely, 2^{100102133013332} is an apocalyptic number.

It is an amenable number.

100102133013332 is a deficient number, since it is larger than the sum of its proper divisors (75076599760006).

100102133013332 is a wasteful number, since it uses less digits than its factorization.

100102133013332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25025533253337 (or 25025533253335 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 100102133013332 its reverse (233310331201001), we get a palindrome (333412464214333).

The spelling of 100102133013332 in words is "one hundred trillion, one hundred two billion, one hundred thirty-three million, thirteen thousand, three hundred thirty-two".