101212201033 has 16 divisors (see below), whose sum is σ = 102489426000. Its totient is φ = 99944328960.

The previous prime is 101212201019. The next prime is 101212201043. The reversal of 101212201033 is 330102212101.

It can be written as a sum of positive squares in 8 ways, for example, as 19675111824 + 81537089209 = 140268^2 + 285547^2 .

It is a cyclic number.

It is not a de Polignac number, because 101212201033 - 2⁵ = 101212201001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101212200998 and 101212201016.

It is not an unprimeable number, because it can be changed into a prime (101212201043) 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 15 ways as a sum of consecutive naturals, for example, 28011535 + ... + 28015147.

It is an arithmetic number, because the mean of its divisors is an integer number (6405589125).

Almost surely, 2^101212201033 is an apocalyptic number.

It is an amenable number.

101212201033 is a deficient number, since it is larger than the sum of its proper divisors (1277224967).

101212201033 is a wasteful number, since it uses less digits than its factorization.

101212201033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4812.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101212201033 its reverse (330102212101), we get a palindrome (431314413134).

The spelling of 101212201033 in words is "one hundred one billion, two hundred twelve million, two hundred one thousand, thirty-three".