101405222240281 has 16 divisors (see below), whose sum is σ = 104948866034640. Its totient is φ = 97864714402560.

The previous prime is 101405222240279. The next prime is 101405222240299. The reversal of 101405222240281 is 182042222504101.

It can be written as a sum of positive squares in 8 ways, for example, as 25 + 101405222240256 = 5^2 + 10070016^2 .

It is a cyclic number.

It is not a de Polignac number, because 101405222240281 - 2¹ = 101405222240279 is a prime.

It is a super-2 number, since 2×101405222240281² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101405222246281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 720766915 + ... + 720907591.

It is an arithmetic number, because the mean of its divisors is an integer number (6559304127165).

Almost surely, 2^{101405222240281} is an apocalyptic number.

It is an amenable number.

101405222240281 is a deficient number, since it is larger than the sum of its proper divisors (3543643794359).

101405222240281 is a wasteful number, since it uses less digits than its factorization.

101405222240281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151644.

The product of its (nonzero) digits is 20480, while the sum is 34.

Adding to 101405222240281 its reverse (182042222504101), we get a palindrome (283447444744382).

The spelling of 101405222240281 in words is "one hundred one trillion, four hundred five billion, two hundred twenty-two million, two hundred forty thousand, two hundred eighty-one".