100101012133 has 2 divisors, whose sum is σ = 100101012134. Its totient is φ = 100101012132.

The previous prime is 100101012079. The next prime is 100101012149. The reversal of 100101012133 is 331210101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98745520644 + 1355491489 = 314238^2 + 36817^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100101012133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101019133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050506066 + 50050506067.

It is an arithmetic number, because the mean of its divisors is an integer number (50050506067).

Almost surely, 2^100101012133 is an apocalyptic number.

It is an amenable number.

100101012133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101012133 is an equidigital number, since it uses as much as digits as its factorization.

100101012133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 100101012133 its reverse (331210101001), we get a palindrome (431311113134).

The spelling of 100101012133 in words is "one hundred billion, one hundred one million, twelve thousand, one hundred thirty-three".