100441121440 has 96 divisors (see below), whose sum is σ = 270119235456. Its totient is φ = 34936028160.

The previous prime is 100441121381. The next prime is 100441121453. The reversal of 100441121440 is 44121144001.

It is a super-2 number, since 2×100441121440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 1200147 + ... + 1281106.

It is an arithmetic number, because the mean of its divisors is an integer number (2813742036).

Almost surely, 2^100441121440 is an apocalyptic number.

100441121440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100441121440 is an abundant number, since it is smaller than the sum of its proper divisors (169678114016).

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

100441121440 is a wasteful number, since it uses less digits than its factorization.

100441121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481302 (or 2481294 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 100441121440 its reverse (44121144001), we get a palindrome (144562265441).

The spelling of 100441121440 in words is "one hundred billion, four hundred forty-one million, one hundred twenty-one thousand, four hundred forty".