101111032221 has 16 divisors (see below), whose sum is σ = 136230222336. Its totient is φ = 66700624176.

The previous prime is 101111032219. The next prime is 101111032223. The reversal of 101111032221 is 122230111101.

It is an interprime number because it is at equal distance from previous prime (101111032219) and next prime (101111032223).

It is not a de Polignac number, because 101111032221 - 2¹ = 101111032219 is a prime.

It is a super-3 number, since 3×101111032221³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 101111032221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111032223) 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 15 ways as a sum of consecutive naturals, for example, 268926 + ... + 523968.

It is an arithmetic number, because the mean of its divisors is an integer number (8514388896).

Almost surely, 2^101111032221 is an apocalyptic number.

It is an amenable number.

101111032221 is a deficient number, since it is larger than the sum of its proper divisors (35119190115).

101111032221 is a wasteful number, since it uses less digits than its factorization.

101111032221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256432.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101111032221 its reverse (122230111101), we get a palindrome (223341143322).

The spelling of 101111032221 in words is "one hundred one billion, one hundred eleven million, thirty-two thousand, two hundred twenty-one".