10100024371444 has 144 divisors (see below), whose sum is σ = 22200524068800. Its totient is φ = 3995576169984.

The previous prime is 10100024371433. The next prime is 10100024371471. The reversal of 10100024371444 is 44417342000101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65416882 + ... + 65571094.

Almost surely, 2^{10100024371444} is an apocalyptic number.

10100024371444 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 10100024371444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11100262034400).

10100024371444 is an abundant number, since it is smaller than the sum of its proper divisors (12100499697356).

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

10100024371444 is a wasteful number, since it uses less digits than its factorization.

10100024371444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154702 (or 154693 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

Adding to 10100024371444 its reverse (44417342000101), we get a palindrome (54517366371545).

The spelling of 10100024371444 in words is "ten trillion, one hundred billion, twenty-four million, three hundred seventy-one thousand, four hundred forty-four".