101223213201 has 36 divisors (see below), whose sum is σ = 160939504180. Its totient is φ = 61260408000.

The previous prime is 101223213181. The next prime is 101223213293. The reversal of 101223213201 is 102312322101.

101223213201 is a `hidden beast` number, since 1 + 0 + 1 + 22 + 321 + 320 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27497930625 + 73725282576 = 165825^2 + 271524^2 .

It is not a de Polignac number, because 101223213201 - 2¹⁵ = 101223180433 is a prime.

It is a super-2 number, since 2×101223213201² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101223212201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 706551 + ... + 837651.

Almost surely, 2^101223213201 is an apocalyptic number.

101223213201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101223213201 is a deficient number, since it is larger than the sum of its proper divisors (59716290979).

101223213201 is a wasteful number, since it uses less digits than its factorization.

101223213201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131838 (or 131824 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101223213201 its reverse (102312322101), we get a palindrome (203535535302).

The spelling of 101223213201 in words is "one hundred one billion, two hundred twenty-three million, two hundred thirteen thousand, two hundred one".