100210021101001 has 6 divisors (see below), whose sum is σ = 116570840872650. Its totient is φ = 85894303800816.

The previous prime is 100210021100999. The next prime is 100210021101053. The reversal of 100210021101001 is 100101120012001.

It can be written as a sum of positive squares in only one way, i.e., 89694139548601 + 10515881552400 = 9470699^2 + 3242820^2 .

It is not a de Polignac number, because 100210021101001 - 2¹ = 100210021100999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100210021101061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1022551235676 + ... + 1022551235773.

It is an arithmetic number, because the mean of its divisors is an integer number (19428473478775).

Almost surely, 2^{100210021101001} is an apocalyptic number.

It is an amenable number.

100210021101001 is a deficient number, since it is larger than the sum of its proper divisors (16360819771649).

100210021101001 is an equidigital number, since it uses as much as digits as its factorization.

100210021101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045102471463 (or 2045102471456 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100210021101001 its reverse (100101120012001), we get a palindrome (200311141113002).

The spelling of 100210021101001 in words is "one hundred trillion, two hundred ten billion, twenty-one million, one hundred one thousand, one".