10256401100 has 144 divisors (see below), whose sum is σ = 24919405056. Its totient is φ = 3632160000.

The previous prime is 10256401093. The next prime is 10256401117. The reversal of 10256401100 is 110465201.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 14630750 + ... + 14631450.

It is an arithmetic number, because the mean of its divisors is an integer number (173051424).

Almost surely, 2^10256401100 is an apocalyptic number.

10256401100 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 10256401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12459702528).

10256401100 is an abundant number, since it is smaller than the sum of its proper divisors (14663003956).

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

10256401100 is a wasteful number, since it uses less digits than its factorization.

10256401100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 10256401100 its reverse (110465201), we get a palindrome (10366866301).

The spelling of 10256401100 in words is "ten billion, two hundred fifty-six million, four hundred one thousand, one hundred".