101221021122 has 64 divisors (see below), whose sum is σ = 221898464256. Its totient is φ = 30591509760.

The previous prime is 101221021091. The next prime is 101221021129. The reversal of 101221021122 is 221120122101.

It is not an unprimeable number, because it can be changed into a prime (101221021129) 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 31 ways as a sum of consecutive naturals, for example, 3473103 + ... + 3502125.

It is an arithmetic number, because the mean of its divisors is an integer number (3467163504).

Almost surely, 2^101221021122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101221021122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110949232128).

101221021122 is an abundant number, since it is smaller than the sum of its proper divisors (120677443134).

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

101221021122 is a wasteful number, since it uses less digits than its factorization.

101221021122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29835.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101221021122 its reverse (221120122101), we get a palindrome (322341143223).

The spelling of 101221021122 in words is "one hundred one billion, two hundred twenty-one million, twenty-one thousand, one hundred twenty-two".