100210200021 has 6 divisors (see below), whose sum is σ = 144748066710. Its totient is φ = 66806800008.

The previous prime is 100210200001. The next prime is 100210200047. The reversal of 100210200021 is 120002012001.

It can be written as a sum of positive squares in only one way, i.e., 99887602500 + 322597521 = 316050^2 + 17961^2 .

It is not a de Polignac number, because 100210200021 - 2¹⁷ = 100210068949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11134466669 = 100210200021 / (1 + 0 + 0 + 2 + 1 + 0 + 2 + 0 + 0 + 0 + 2 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 100210199976 and 100210200012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210200001) 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 5 ways as a sum of consecutive naturals, for example, 5567233326 + ... + 5567233343.

It is an arithmetic number, because the mean of its divisors is an integer number (24124677785).

Almost surely, 2^100210200021 is an apocalyptic number.

It is an amenable number.

100210200021 is a deficient number, since it is larger than the sum of its proper divisors (44537866689).

100210200021 is a wasteful number, since it uses less digits than its factorization.

100210200021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11134466675 (or 11134466672 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100210200021 its reverse (120002012001), we get a palindrome (220212212022).

The spelling of 100210200021 in words is "one hundred billion, two hundred ten million, two hundred thousand, twenty-one".