100102994208 has 384 divisors, whose sum is σ = 368674467840. Its totient is φ = 25747476480.

The previous prime is 100102994183. The next prime is 100102994267. The reversal of 100102994208 is 802499201001.

It is a super-3 number, since 3×100102994208³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2343603 + ... + 2385933.

It is an arithmetic number, because the mean of its divisors is an integer number (960089760).

Almost surely, 2^100102994208 is an apocalyptic number.

100102994208 is a gapful number since it is divisible by the number (18) 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 100102994208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184337233920).

100102994208 is an abundant number, since it is smaller than the sum of its proper divisors (268571473632).

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

100102994208 is a wasteful number, since it uses less digits than its factorization.

100102994208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42397 (or 42383 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 100102994208 in words is "one hundred billion, one hundred two million, nine hundred ninety-four thousand, two hundred eight".