101252323252101 has 16 divisors (see below), whose sum is σ = 154299864121344. Its totient is φ = 57854491814064.

The previous prime is 101252323252039. The next prime is 101252323252139.

101252323252101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101252323252101 - 2⁶ = 101252323252037 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101252323252151) 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, 165462981 + ... + 166073786.

It is an arithmetic number, because the mean of its divisors is an integer number (9643741507584).

Almost surely, 2^{101252323252101} is an apocalyptic number.

It is an amenable number.

101252323252101 is a deficient number, since it is larger than the sum of its proper divisors (53047540869243).

101252323252101 is a wasteful number, since it uses less digits than its factorization.

101252323252101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331551320.

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 101252323252101 in words is "one hundred one trillion, two hundred fifty-two billion, three hundred twenty-three million, two hundred fifty-two thousand, one hundred one".