100998959891440 has 240 divisors, whose sum is σ = 263364477594624. Its totient is φ = 35804748349440.

The previous prime is 100998959891407. The next prime is 100998959891477. The reversal of 100998959891440 is 44198959899001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126531024 + ... + 127326736.

Almost surely, 2^{100998959891440} is an apocalyptic number.

100998959891440 is a gapful number since it is divisible by the number (10) 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 100998959891440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131682238797312).

100998959891440 is an abundant number, since it is smaller than the sum of its proper divisors (162365517703184).

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

100998959891440 is a wasteful number, since it uses less digits than its factorization.

100998959891440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795928 (or 795891 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 76.

The spelling of 100998959891440 in words is "one hundred trillion, nine hundred ninety-eight billion, nine hundred fifty-nine million, eight hundred ninety-one thousand, four hundred forty".