10144103320100 has 72 divisors (see below), whose sum is σ = 22150958268768. Its totient is φ = 4032163929600.

The previous prime is 10144103320049. The next prime is 10144103320111. The reversal of 10144103320100 is 102330144101.

10144103320100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 122811815 + ... + 122894385.

Almost surely, 2^{10144103320100} is an apocalyptic number.

10144103320100 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 10144103320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11075479134384).

10144103320100 is an abundant number, since it is smaller than the sum of its proper divisors (12006854948668).

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

10144103320100 is a wasteful number, since it uses less digits than its factorization.

10144103320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90285 (or 90278 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10144103320100 its reverse (102330144101), we get a palindrome (10246433464201).

The spelling of 10144103320100 in words is "ten trillion, one hundred forty-four billion, one hundred three million, three hundred twenty thousand, one hundred".