101322000101 has 8 divisors (see below), whose sum is σ = 122608134720. Its totient is φ = 81738756288.

The previous prime is 101322000061. The next prime is 101322000133. The reversal of 101322000101 is 101000223101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101322000101 - 2¹⁴ = 101321983717 is a prime.

It is a super-2 number, since 2×101322000101² (a number of 23 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 (101322000161) 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 7 ways as a sum of consecutive naturals, for example, 425722571 + ... + 425722808.

It is an arithmetic number, because the mean of its divisors is an integer number (15326016840).

Almost surely, 2^101322000101 is an apocalyptic number.

It is an amenable number.

101322000101 is a deficient number, since it is larger than the sum of its proper divisors (21286134619).

101322000101 is an equidigital number, since it uses as much as digits as its factorization.

101322000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851445403.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 101322000101 its reverse (101000223101), we get a palindrome (202322223202).

The spelling of 101322000101 in words is "one hundred one billion, three hundred twenty-two million, one hundred one", and thus it is an aban number.