101232311201 has 32 divisors (see below), whose sum is σ = 125196288000. Its totient is φ = 79914107520.

The previous prime is 101232311111. The next prime is 101232311227. The reversal of 101232311201 is 102113232101.

It is a cyclic number.

It is not a de Polignac number, because 101232311201 - 2¹⁰ = 101232310177 is a prime.

It is a super-4 number, since 4×101232311201⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 101232311201.

It is not an unprimeable number, because it can be changed into a prime (101232311101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1510400 + ... + 1575998.

It is an arithmetic number, because the mean of its divisors is an integer number (3912384000).

Almost surely, 2^101232311201 is an apocalyptic number.

It is an amenable number.

101232311201 is a deficient number, since it is larger than the sum of its proper divisors (23963976799).

101232311201 is a wasteful number, since it uses less digits than its factorization.

101232311201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65949.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101232311201 its reverse (102113232101), we get a palindrome (203345543302).

The spelling of 101232311201 in words is "one hundred one billion, two hundred thirty-two million, three hundred eleven thousand, two hundred one".