101100100010033 has 2 divisors, whose sum is σ = 101100100010034. Its totient is φ = 101100100010032.

The previous prime is 101100100009963. The next prime is 101100100010057. The reversal of 101100100010033 is 330010001001101.

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., 66676909041649 + 34423190968384 = 8165593^2 + 5867128^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100100010033 - 2¹² = 101100100005937 is a prime.

It is a super-2 number, since 2×101100100010033² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101100100009996 and 101100100010023.

It is not a weakly prime, because it can be changed into another prime (101100100016033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550050005016 + 50550050005017.

It is an arithmetic number, because the mean of its divisors is an integer number (50550050005017).

Almost surely, 2^{101100100010033} is an apocalyptic number.

It is an amenable number.

101100100010033 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100100010033 is an equidigital number, since it uses as much as digits as its factorization.

101100100010033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 101100100010033 its reverse (330010001001101), we get a palindrome (431110101011134).

The spelling of 101100100010033 in words is "one hundred one trillion, one hundred billion, one hundred million, ten thousand, thirty-three".