20100144100102 has 64 divisors (see below), whose sum is σ = 34673340038400. Its totient is φ = 8642799792000.

The previous prime is 20100144100063. The next prime is 20100144100103.

It is a happy number.

20100144100102 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100144100103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2124521652 + ... + 2124531112.

It is an arithmetic number, because the mean of its divisors is an integer number (541770938100).

Almost surely, 2^{20100144100102} is an apocalyptic number.

20100144100102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20100144100102 is a deficient number, since it is larger than the sum of its proper divisors (14573195938298).

20100144100102 is a wasteful number, since it uses less digits than its factorization.

20100144100102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16453.

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 2010014 and 4100102, that added together give a palindrome (6110116).

The spelling of 20100144100102 in words is "twenty trillion, one hundred billion, one hundred forty-four million, one hundred thousand, one hundred two".