101232200101001 has 16 divisors (see below), whose sum is σ = 104047861938048. Its totient is φ = 98463034800000.

The previous prime is 101232200100973. The next prime is 101232200101009. The reversal of 101232200101001 is 100101002232101.

It is a cyclic number.

It is not a de Polignac number, because 101232200101001 - 2¹⁰ = 101232200099977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101232200101009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25500221 + ... + 29201466.

It is an arithmetic number, because the mean of its divisors is an integer number (6502991371128).

Almost surely, 2^{101232200101001} is an apocalyptic number.

It is an amenable number.

101232200101001 is a deficient number, since it is larger than the sum of its proper divisors (2815661837047).

101232200101001 is a wasteful number, since it uses less digits than its factorization.

101232200101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54702112.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101232200101001 its reverse (100101002232101), we get a palindrome (201333202333102).

The spelling of 101232200101001 in words is "one hundred one trillion, two hundred thirty-two billion, two hundred million, one hundred one thousand, one".