10200100144 has 40 divisors (see below), whose sum is σ = 22403062640. Its totient is φ = 4459961088.

The previous prime is 10200100117. The next prime is 10200100189. The reversal of 10200100144 is 44100100201.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1286547 + ... + 1294450.

It is an arithmetic number, because the mean of its divisors is an integer number (560076566).

Almost surely, 2^10200100144 is an apocalyptic number.

It is an amenable number.

10200100144 is an abundant number, since it is smaller than the sum of its proper divisors (12202962496).

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

10200100144 is a wasteful number, since it uses less digits than its factorization.

10200100144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581037 (or 2581031 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10200100144 its reverse (44100100201), we get a palindrome (54300200345).

The spelling of 10200100144 in words is "ten billion, two hundred million, one hundred thousand, one hundred forty-four".