101612421144 has 48 divisors (see below), whose sum is σ = 296369564400. Its totient is φ = 31265360064.

The previous prime is 101612421143. The next prime is 101612421149. The reversal of 101612421144 is 441124216101.

It is a happy number.

101612421144 is a `hidden beast` number, since 1 + 0 + 1 + 612 + 4 + 2 + 1 + 1 + 44 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101612421143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54279204 + ... + 54281075.

It is an arithmetic number, because the mean of its divisors is an integer number (6174365925).

Almost surely, 2^101612421144 is an apocalyptic number.

It is an amenable number.

101612421144 is an abundant number, since it is smaller than the sum of its proper divisors (194757143256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101612421144 is a wasteful number, since it uses less digits than its factorization.

101612421144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108560304 (or 108560297 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 101612421144 its reverse (441124216101), we get a palindrome (542736637245).

The spelling of 101612421144 in words is "one hundred one billion, six hundred twelve million, four hundred twenty-one thousand, one hundred forty-four".