100200001021 has 16 divisors (see below), whose sum is σ = 105643537200. Its totient is φ = 94890152448.

The previous prime is 100200001003. The next prime is 100200001037. The reversal of 100200001021 is 120100002001.

It can be written as a sum of positive squares in 8 ways, for example, as 3062500 + 100196938521 = 1750^2 + 316539^2 .

It is a cyclic number.

It is not a de Polignac number, because 100200001021 - 2¹³ = 100199992829 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100200000995 and 100200001013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200001621) 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, 6227575 + ... + 6243643.

It is an arithmetic number, because the mean of its divisors is an integer number (6602721075).

Almost surely, 2^100200001021 is an apocalyptic number.

It is an amenable number.

100200001021 is a deficient number, since it is larger than the sum of its proper divisors (5443536179).

100200001021 is a wasteful number, since it uses less digits than its factorization.

100200001021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20208.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100200001021 its reverse (120100002001), we get a palindrome (220300003022).

The spelling of 100200001021 in words is "one hundred billion, two hundred million, one thousand, twenty-one".