101024130144 has 96 divisors (see below), whose sum is σ = 303459077376. Its totient is φ = 28827210240.

The previous prime is 101024130133. The next prime is 101024130199. The reversal of 101024130144 is 441031420101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 101024130144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433354 + ... + 624374.

It is an arithmetic number, because the mean of its divisors is an integer number (3161032056).

Almost surely, 2^101024130144 is an apocalyptic number.

101024130144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101024130144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151729538688).

101024130144 is an abundant number, since it is smaller than the sum of its proper divisors (202434947232).

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

101024130144 is a wasteful number, since it uses less digits than its factorization.

101024130144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191828 (or 191820 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 101024130144 its reverse (441031420101), we get a palindrome (542055550245).

The spelling of 101024130144 in words is "one hundred one billion, twenty-four million, one hundred thirty thousand, one hundred forty-four".