100930101800 has 192 divisors, whose sum is σ = 263270649600. Its totient is φ = 35665920000.

The previous prime is 100930101763. The next prime is 100930101827. The reversal of 100930101800 is 8101039001.

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, 24442136 + ... + 24446264.

It is an arithmetic number, because the mean of its divisors is an integer number (1371201300).

Almost surely, 2^100930101800 is an apocalyptic number.

100930101800 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 100930101800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131635324800).

100930101800 is an abundant number, since it is smaller than the sum of its proper divisors (162340547800).

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

100930101800 is a wasteful number, since it uses less digits than its factorization.

100930101800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4468 (or 4459 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 100930101800 in words is "one hundred billion, nine hundred thirty million, one hundred one thousand, eight hundred".