100203112020101 has 16 divisors (see below), whose sum is σ = 102319639052400. Its totient is φ = 98112126528000.

The previous prime is 100203112020079. The next prime is 100203112020103. The reversal of 100203112020101 is 101020211302001.

It can be written as a sum of positive squares in 8 ways, for example, as 10145403484225 + 90057708535876 = 3185185^2 + 9489874^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100203112020101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100203112020103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2999366 + ... + 14470743.

It is an arithmetic number, because the mean of its divisors is an integer number (6394977440775).

Almost surely, 2^{100203112020101} is an apocalyptic number.

It is an amenable number.

100203112020101 is a deficient number, since it is larger than the sum of its proper divisors (2116527032299).

100203112020101 is a wasteful number, since it uses less digits than its factorization.

100203112020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17470840.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100203112020101 its reverse (101020211302001), we get a palindrome (201223323322102).

The spelling of 100203112020101 in words is "one hundred trillion, two hundred three billion, one hundred twelve million, twenty thousand, one hundred one".