100208550000 has 720 divisors, whose sum is σ = 361630604160. Its totient is φ = 23886720000.

The previous prime is 100208549981. The next prime is 100208550007. The reversal of 100208550000 is 55802001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100208550007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1495649967 + ... + 1495650033.

It is an arithmetic number, because the mean of its divisors is an integer number (502264728).

Almost surely, 2^100208550000 is an apocalyptic number.

100208550000 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 100208550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180815302080).

100208550000 is an abundant number, since it is smaller than the sum of its proper divisors (261422054160).

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

100208550000 is an equidigital number, since it uses as much as digits as its factorization.

100208550000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The spelling of 100208550000 in words is "one hundred billion, two hundred eight million, five hundred fifty thousand".