101123321101 has 16 divisors (see below), whose sum is σ = 117962059968. Its totient is φ = 85665952000.

The previous prime is 101123321077. The next prime is 101123321137.

It is a happy number.

101123321101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 101123321101 - 2¹³ = 101123312909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101123321171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2658175 + ... + 2695948.

It is an arithmetic number, because the mean of its divisors is an integer number (7372628748).

Almost surely, 2^101123321101 is an apocalyptic number.

101123321101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101123321101 is a deficient number, since it is larger than the sum of its proper divisors (16838738867).

101123321101 is a wasteful number, since it uses less digits than its factorization.

101123321101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5354252.

The product of its (nonzero) digits is 36, while the sum is 16.

It can be divided in two parts, 101123 and 321101, that added together give a palindrome (422224).

The spelling of 101123321101 in words is "one hundred one billion, one hundred twenty-three million, three hundred twenty-one thousand, one hundred one".