100111051040 has 384 divisors, whose sum is σ = 319092867072. Its totient is φ = 28663787520.

The previous prime is 100111050937. The next prime is 100111051067. The reversal of 100111051040 is 40150111001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35714279 + ... + 35717081.

It is an arithmetic number, because the mean of its divisors is an integer number (830971008).

Almost surely, 2^100111051040 is an apocalyptic number.

100111051040 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 100111051040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159546433536).

100111051040 is an abundant number, since it is smaller than the sum of its proper divisors (218981816032).

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

100111051040 is a wasteful number, since it uses less digits than its factorization.

100111051040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 14.

Adding to 100111051040 its reverse (40150111001), we get a palindrome (140261162041).

The spelling of 100111051040 in words is "one hundred billion, one hundred eleven million, fifty-one thousand, forty".