100101210102133 has 2 divisors, whose sum is σ = 100101210102134. Its totient is φ = 100101210102132.

The previous prime is 100101210102121. The next prime is 100101210102143. The reversal of 100101210102133 is 331201012101001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83843726450884 + 16257483651249 = 9156622^2 + 4032057^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101210102133 - 2⁴⁵ = 64916838013301 is a prime.

It is a super-2 number, since 2×100101210102133² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101210102143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050605051066 + 50050605051067.

It is an arithmetic number, because the mean of its divisors is an integer number (50050605051067).

Almost surely, 2^{100101210102133} is an apocalyptic number.

It is an amenable number.

100101210102133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101210102133 is an equidigital number, since it uses as much as digits as its factorization.

100101210102133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 100101210102133 its reverse (331201012101001), we get a palindrome (431302222203134).

The spelling of 100101210102133 in words is "one hundred trillion, one hundred one billion, two hundred ten million, one hundred two thousand, one hundred thirty-three".