101100001021221 has 32 divisors (see below), whose sum is σ = 143065458188928. Its totient is φ = 63419109062400.

The previous prime is 101100001021189. The next prime is 101100001021223. The reversal of 101100001021221 is 122120100001101.

It is not a de Polignac number, because 101100001021221 - 2⁵ = 101100001021189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101100001021197 and 101100001021206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100001021223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104377566 + ... + 105341711.

It is an arithmetic number, because the mean of its divisors is an integer number (4470795568404).

Almost surely, 2^{101100001021221} is an apocalyptic number.

It is an amenable number.

101100001021221 is a deficient number, since it is larger than the sum of its proper divisors (41965457167707).

101100001021221 is a wasteful number, since it uses less digits than its factorization.

101100001021221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209719461.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101100001021221 its reverse (122120100001101), we get a palindrome (223220101022322).

The spelling of 101100001021221 in words is "one hundred one trillion, one hundred billion, one million, twenty-one thousand, two hundred twenty-one".