100110110101033 has 2 divisors, whose sum is σ = 100110110101034. Its totient is φ = 100110110101032.

The previous prime is 100110110100967. The next prime is 100110110101109. The reversal of 100110110101033 is 330101011011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59753719382809 + 40356390718224 = 7730053^2 + 6352668^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100110110101033 is a prime.

It is not a weakly prime, because it can be changed into another prime (100110110101633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055055050516 + 50055055050517.

It is an arithmetic number, because the mean of its divisors is an integer number (50055055050517).

Almost surely, 2^{100110110101033} is an apocalyptic number.

It is an amenable number.

100110110101033 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110110101033 is an equidigital number, since it uses as much as digits as its factorization.

100110110101033 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 13.

Adding to 100110110101033 its reverse (330101011011001), we get a palindrome (430211121112034).

The spelling of 100110110101033 in words is "one hundred trillion, one hundred ten billion, one hundred ten million, one hundred one thousand, thirty-three".