101124024121241 has 16 divisors (see below), whose sum is σ = 112671741623040. Its totient is φ = 89969002759680.

The previous prime is 101124024121231. The next prime is 101124024121271. The reversal of 101124024121241 is 142121420421101.

It is a happy number.

It is not a de Polignac number, because 101124024121241 - 2¹⁸ = 101124023859097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101124024121241.

It is not an unprimeable number, because it can be changed into a prime (101124024121231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1364915 + ... + 14286743.

It is an arithmetic number, because the mean of its divisors is an integer number (7041983851440).

Almost surely, 2^{101124024121241} is an apocalyptic number.

101124024121241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101124024121241 is a deficient number, since it is larger than the sum of its proper divisors (11547717501799).

101124024121241 is a wasteful number, since it uses less digits than its factorization.

101124024121241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12937024.

The product of its (nonzero) digits is 1024, while the sum is 26.

Adding to 101124024121241 its reverse (142121420421101), we get a palindrome (243245444542342).

The spelling of 101124024121241 in words is "one hundred one trillion, one hundred twenty-four billion, twenty-four million, one hundred twenty-one thousand, two hundred forty-one".