100132213101201 has 6 divisors (see below), whose sum is σ = 144635418923970. Its totient is φ = 66754808734128.

The previous prime is 100132213101197. The next prime is 100132213101229. The reversal of 100132213101201 is 102101312231001.

100132213101201 is a `hidden beast` number, since 1 + 0 + 0 + 13 + 221 + 310 + 120 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56305813838400 + 43826399262801 = 7503720^2 + 6620151^2 .

It is not a de Polignac number, because 100132213101201 - 2² = 100132213101197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100132213101101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5562900727836 + ... + 5562900727853.

It is an arithmetic number, because the mean of its divisors is an integer number (24105903153995).

Almost surely, 2^{100132213101201} is an apocalyptic number.

It is an amenable number.

100132213101201 is a deficient number, since it is larger than the sum of its proper divisors (44503205822769).

100132213101201 is a wasteful number, since it uses less digits than its factorization.

100132213101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11125801455695 (or 11125801455692 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 100132213101201 its reverse (102101312231001), we get a palindrome (202233525332202).

The spelling of 100132213101201 in words is "one hundred trillion, one hundred thirty-two billion, two hundred thirteen million, one hundred one thousand, two hundred one".