100133002001261 has 2 divisors, whose sum is σ = 100133002001262. Its totient is φ = 100133002001260.

The previous prime is 100133002001239. The next prime is 100133002001437. The reversal of 100133002001261 is 162100200331001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91999155041161 + 8133846960100 = 9591619^2 + 2851990^2 .

It is a cyclic number.

It is not a de Polignac number, because 100133002001261 - 2¹⁴ = 100133001984877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100133002001161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50066501000630 + 50066501000631.

It is an arithmetic number, because the mean of its divisors is an integer number (50066501000631).

Almost surely, 2^{100133002001261} is an apocalyptic number.

It is an amenable number.

100133002001261 is a deficient number, since it is larger than the sum of its proper divisors (1).

100133002001261 is an equidigital number, since it uses as much as digits as its factorization.

100133002001261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 100133002001261 its reverse (162100200331001), we get a palindrome (262233202332262).

The spelling of 100133002001261 in words is "one hundred trillion, one hundred thirty-three billion, two million, one thousand, two hundred sixty-one".