101232232101 has 192 divisors, whose sum is σ = 204120483840. Its totient is φ = 46649157120.

The previous prime is 101232232097. The next prime is 101232232117.

101232232101 is a `hidden beast` number, since 10 + 12 + 322 + 321 + 0 + 1 = 666.

101232232101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101232232101 - 2² = 101232232097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101232232501) 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 191 ways as a sum of consecutive naturals, for example, 27664810 + ... + 27668468.

It is an arithmetic number, because the mean of its divisors is an integer number (1063127520).

Almost surely, 2^101232232101 is an apocalyptic number.

101232232101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101232232101 is an abundant number, since it is smaller than the sum of its proper divisors (102888251739).

101232232101 is a wasteful number, since it uses less digits than its factorization.

101232232101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3816 (or 3813 counting only the distinct ones).

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

It can be divided in two parts, 101232 and 232101, that added together give a palindrome (333333).

The spelling of 101232232101 in words is "one hundred one billion, two hundred thirty-two million, two hundred thirty-two thousand, one hundred one".