101612121144 has 128 divisors (see below), whose sum is σ = 272533248000. Its totient is φ = 31477970304.

The previous prime is 101612121133. The next prime is 101612121167. The reversal of 101612121144 is 441121216101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5015467 + ... + 5035685.

It is an arithmetic number, because the mean of its divisors is an integer number (2129166000).

Almost surely, 2^101612121144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101612121144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136266624000).

101612121144 is an abundant number, since it is smaller than the sum of its proper divisors (170921126856).

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

101612121144 is a wasteful number, since it uses less digits than its factorization.

101612121144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20457 (or 20453 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 101612121144 its reverse (441121216101), we get a palindrome (542733337245).

The spelling of 101612121144 in words is "one hundred one billion, six hundred twelve million, one hundred twenty-one thousand, one hundred forty-four".