100001500400 has 240 divisors, whose sum is σ = 264721672800. Its totient is φ = 36133601280.

The previous prime is 100001500393. The next prime is 100001500411. The reversal of 100001500400 is 4005100001.

It is a congruent number.

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, 35297384 + ... + 35300216.

It is an arithmetic number, because the mean of its divisors is an integer number (1103006970).

Almost surely, 2^100001500400 is an apocalyptic number.

100001500400 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 100001500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132360836400).

100001500400 is an abundant number, since it is smaller than the sum of its proper divisors (164720172400).

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

100001500400 is a wasteful number, since it uses less digits than its factorization.

100001500400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3076 (or 3065 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

Adding to 100001500400 its reverse (4005100001), we get a palindrome (104006600401).

The spelling of 100001500400 in words is "one hundred billion, one million, five hundred thousand, four hundred".