101000112211033 has 12 divisors (see below), whose sum is σ = 117509663044020. Its totient is φ = 86556981998592.

The previous prime is 101000112211027. The next prime is 101000112211069. The reversal of 101000112211033 is 330112211000101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 29866356160144 + 71133756050889 = 5465012^2 + 8434083^2 .

It is not a de Polignac number, because 101000112211033 - 2⁹ = 101000112210521 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000112210998 and 101000112211016.

It is not an unprimeable number, because it can be changed into a prime (101000112215033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172833348 + ... + 173416741.

It is an arithmetic number, because the mean of its divisors is an integer number (9792471920335).

Almost surely, 2^{101000112211033} is an apocalyptic number.

It is an amenable number.

101000112211033 is a deficient number, since it is larger than the sum of its proper divisors (16509550832987).

101000112211033 is an equidigital number, since it uses as much as digits as its factorization.

101000112211033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346256056 (or 346256049 counting only the distinct ones).

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

Adding to 101000112211033 its reverse (330112211000101), we get a palindrome (431112323211134).

The spelling of 101000112211033 in words is "one hundred one trillion, one hundred twelve million, two hundred eleven thousand, thirty-three".