101023212033 has 12 divisors (see below), whose sum is σ = 146728620948. Its totient is φ = 66976714080.

The previous prime is 101023212023. The next prime is 101023212077. The reversal of 101023212033 is 330212320101.

It can be written as a sum of positive squares in 2 ways, for example, as 14253494544 + 86769717489 = 119388^2 + 294567^2 .

It is not a de Polignac number, because 101023212033 - 2⁵ = 101023212001 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101023211997 and 101023212015.

It is not an unprimeable number, because it can be changed into a prime (101023212023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31006110 + ... + 31009367.

It is an arithmetic number, because the mean of its divisors is an integer number (12227385079).

Almost surely, 2^101023212033 is an apocalyptic number.

It is an amenable number.

101023212033 is a deficient number, since it is larger than the sum of its proper divisors (45705408915).

101023212033 is a wasteful number, since it uses less digits than its factorization.

101023212033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62015664 (or 62015661 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101023212033 its reverse (330212320101), we get a palindrome (431235532134).

The spelling of 101023212033 in words is "one hundred one billion, twenty-three million, two hundred twelve thousand, thirty-three".