100200300200101 has 16 divisors (see below), whose sum is σ = 100723026288816. Its totient is φ = 99678781440000.

The previous prime is 100200300200071. The next prime is 100200300200111. The reversal of 100200300200101 is 101002003002001.

It is a Cunningham number, because it is equal to 10010010²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 58448012716900 + 41752287483201 = 7645130^2 + 6461601^2 .

It is a cyclic number.

It is not a de Polignac number, because 100200300200101 - 2⁷ = 100200300199973 is a prime.

It is a super-4 number, since 4×100200300200101⁴ (a number of 57 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200300200111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2820857221 + ... + 2820892741.

It is an arithmetic number, because the mean of its divisors is an integer number (6295189143051).

Almost surely, 2^{100200300200101} is an apocalyptic number.

It is an amenable number.

100200300200101 is a deficient number, since it is larger than the sum of its proper divisors (522726088715).

100200300200101 is a wasteful number, since it uses less digits than its factorization.

100200300200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52104.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 100200300200101 its reverse (101002003002001), we get a palindrome (201202303202102).

The spelling of 100200300200101 in words is "one hundred trillion, two hundred billion, three hundred million, two hundred thousand, one hundred one".