100210221102001 has 8 divisors (see below), whose sum is σ = 108106919991144. Its totient is φ = 92535964435200.

The previous prime is 100210221101983. The next prime is 100210221102049. The reversal of 100210221102001 is 100201122012001.

It can be written as a sum of positive squares in 4 ways, for example, as 14444377931776 + 85765843170225 = 3800576^2 + 9260985^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100210221102001 - 2⁹ = 100210221101489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100210221100001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55610554650 + ... + 55610556451.

It is an arithmetic number, because the mean of its divisors is an integer number (13513364998893).

Almost surely, 2^{100210221102001} is an apocalyptic number.

It is an amenable number.

100210221102001 is a deficient number, since it is larger than the sum of its proper divisors (7896698889143).

100210221102001 is a wasteful number, since it uses less digits than its factorization.

100210221102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111221111171.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100210221102001 its reverse (100201122012001), we get a palindrome (200411343114002).

The spelling of 100210221102001 in words is "one hundred trillion, two hundred ten billion, two hundred twenty-one million, one hundred two thousand, one".