101223070322101 has 144 divisors (see below), whose sum is σ = 132716366784000. Its totient is φ = 76859268595200.

The previous prime is 101223070322081. The next prime is 101223070322119.

101223070322101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101223070322101 - 2⁷ = 101223070321973 is a prime.

It is a super-2 number, since 2×101223070322101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101223070326101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28266703131 + ... + 28266706711.

It is an arithmetic number, because the mean of its divisors is an integer number (921641436000).

Almost surely, 2^{101223070322101} is an apocalyptic number.

It is an amenable number.

101223070322101 is a deficient number, since it is larger than the sum of its proper divisors (31493296461899).

101223070322101 is a wasteful number, since it uses less digits than its factorization.

101223070322101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4540 (or 4520 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The spelling of 101223070322101 in words is "one hundred one trillion, two hundred twenty-three billion, seventy million, three hundred twenty-two thousand, one hundred one".