101221021104 has 160 divisors (see below), whose sum is σ = 317184698880. Its totient is φ = 27153494016.

The previous prime is 101221021091. The next prime is 101221021129. The reversal of 101221021104 is 401120122101.

It is a super-2 number, since 2×101221021104² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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, 2372182 + ... + 2414474.

It is an arithmetic number, because the mean of its divisors is an integer number (1982404368).

Almost surely, 2^101221021104 is an apocalyptic number.

101221021104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101221021104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158592349440).

101221021104 is an abundant number, since it is smaller than the sum of its proper divisors (215963677776).

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

101221021104 is a wasteful number, since it uses less digits than its factorization.

101221021104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42747 (or 42741 counting only the distinct ones).

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

Adding to 101221021104 its reverse (401120122101), we get a palindrome (502341143205).

The spelling of 101221021104 in words is "one hundred one billion, two hundred twenty-one million, twenty-one thousand, one hundred four".