101221322002002 has 96 divisors (see below), whose sum is σ = 227767742721792. Its totient is φ = 33691177777104.

The previous prime is 101221322001953. The next prime is 101221322002007. The reversal of 101221322002002 is 200200223122101.

101221322002002 is a `hidden beast` number, since 10 + 1 + 221 + 32 + 200 + 200 + 2 = 666.

It is a super-3 number, since 3×101221322002002³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101221322002007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2289897633 + ... + 2289941835.

It is an arithmetic number, because the mean of its divisors is an integer number (2372580653352).

Almost surely, 2^{101221322002002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101221322002002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113883871360896).

101221322002002 is an abundant number, since it is smaller than the sum of its proper divisors (126546420719790).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101221322002002 is an equidigital number, since it uses as much as digits as its factorization.

101221322002002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50994 (or 50982 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101221322002002 its reverse (200200223122101), we get a palindrome (301421545124103).

The spelling of 101221322002002 in words is "one hundred one trillion, two hundred twenty-one billion, three hundred twenty-two million, two thousand, two".