100130132132101 has 16 divisors (see below), whose sum is σ = 104198419614960. Its totient is φ = 96103059619840.

The previous prime is 100130132132077. The next prime is 100130132132111. The reversal of 100130132132101 is 101231231031001.

It can be written as a sum of positive squares in 8 ways, for example, as 3574844807076 + 96555287325025 = 1890726^2 + 9826255^2 .

It is a cyclic number.

It is not a de Polignac number, because 100130132132101 - 2¹¹ = 100130132130053 is a prime.

It is a super-2 number, since 2×100130132132101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100130132132111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29606661 + ... + 32814853.

It is an arithmetic number, because the mean of its divisors is an integer number (6512401225935).

Almost surely, 2^{100130132132101} is an apocalyptic number.

It is an amenable number.

100130132132101 is a deficient number, since it is larger than the sum of its proper divisors (4068287482859).

100130132132101 is a wasteful number, since it uses less digits than its factorization.

100130132132101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214616.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 100130132132101 its reverse (101231231031001), we get a palindrome (201361363163102).

It can be divided in two parts, 100130 and 132132101, that added together give a palindrome (132232231).

The spelling of 100130132132101 in words is "one hundred trillion, one hundred thirty billion, one hundred thirty-two million, one hundred thirty-two thousand, one hundred one".