101011010100221 has 16 divisors (see below), whose sum is σ = 109328862720000. Its totient is φ = 92771420784768.

The previous prime is 101011010100199. The next prime is 101011010100239. The reversal of 101011010100221 is 122001010110101.

It is a cyclic number.

It is not a de Polignac number, because 101011010100221 - 2³⁴ = 100993830231037 is a prime.

It is a super-2 number, since 2×101011010100221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011010100241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405514505 + ... + 405763521.

It is an arithmetic number, because the mean of its divisors is an integer number (6833053920000).

Almost surely, 2^{101011010100221} is an apocalyptic number.

It is an amenable number.

101011010100221 is a deficient number, since it is larger than the sum of its proper divisors (8317852619779).

101011010100221 is a wasteful number, since it uses less digits than its factorization.

101011010100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406028.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101011010100221 its reverse (122001010110101), we get a palindrome (223012020210322).

The spelling of 101011010100221 in words is "one hundred one trillion, eleven billion, ten million, one hundred thousand, two hundred twenty-one".