100427238912 has 1280 divisors, whose sum is σ = 387175219200. Its totient is φ = 22759833600.

The previous prime is 100427238799. The next prime is 100427238929. The reversal of 100427238912 is 219832724001.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2335517163 + ... + 2335517205.

It is an arithmetic number, because the mean of its divisors is an integer number (302480640).

Almost surely, 2^100427238912 is an apocalyptic number.

100427238912 is a gapful number since it is divisible by the number (12) 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 100427238912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193587609600).

100427238912 is an abundant number, since it is smaller than the sum of its proper divisors (286747980288).

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

100427238912 is a wasteful number, since it uses less digits than its factorization.

100427238912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 100427238912 in words is "one hundred billion, four hundred twenty-seven million, two hundred thirty-eight thousand, nine hundred twelve".