16098121958100 has 576 divisors, whose sum is σ = 57624763779072. Its totient is φ = 3378864384000.

The previous prime is 16098121958099. The next prime is 16098121958119. The reversal of 16098121958100 is 185912189061.

It is a super-2 number, since 2×16098121958100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4651290370 + ... + 4651293830.

It is an arithmetic number, because the mean of its divisors is an integer number (100042992672).

Almost surely, 2^{16098121958100} is an apocalyptic number.

16098121958100 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 16098121958100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28812381889536).

16098121958100 is an abundant number, since it is smaller than the sum of its proper divisors (41526641820972).

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

16098121958100 is a wasteful number, since it uses less digits than its factorization.

16098121958100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4336 (or 4329 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 51.

The spelling of 16098121958100 in words is "sixteen trillion, ninety-eight billion, one hundred twenty-one million, nine hundred fifty-eight thousand, one hundred".