101221146341 has 16 divisors (see below), whose sum is σ = 116729251200. Its totient is φ = 85975346688.

The previous prime is 101221146329. The next prime is 101221146349. The reversal of 101221146341 is 143641122101.

It is not a de Polignac number, because 101221146341 - 2¹⁰ = 101221145317 is a prime.

It is a super-2 number, since 2×101221146341² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101221146341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221146349) 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, 4996130 + ... + 5016348.

It is an arithmetic number, because the mean of its divisors is an integer number (7295578200).

Almost surely, 2^101221146341 is an apocalyptic number.

It is an amenable number.

101221146341 is a deficient number, since it is larger than the sum of its proper divisors (15508104859).

101221146341 is a wasteful number, since it uses less digits than its factorization.

101221146341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26668.

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 101221146341 its reverse (143641122101), we get a palindrome (244862268442).

The spelling of 101221146341 in words is "one hundred one billion, two hundred twenty-one million, one hundred forty-six thousand, three hundred forty-one".