100101221010001 has 2 divisors, whose sum is σ = 100101221010002. Its totient is φ = 100101221010000.

The previous prime is 100101221009989. The next prime is 100101221010031. The reversal of 100101221010001 is 100010122101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98431181720001 + 1670039290000 = 9921249^2 + 1292300^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101221010001 - 2⁵ = 100101221009969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100101221010001.

It is not a weakly prime, because it can be changed into another prime (100101221010031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050610505000 + 50050610505001.

It is an arithmetic number, because the mean of its divisors is an integer number (50050610505001).

Almost surely, 2^{100101221010001} is an apocalyptic number.

It is an amenable number.

100101221010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101221010001 is an equidigital number, since it uses as much as digits as its factorization.

100101221010001 is an evil number, because the sum of its binary digits is even.

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

Adding to 100101221010001 its reverse (100010122101001), we get a palindrome (200111343111002).

It can be divided in two parts, 10010122101000 and 1, that added together give a palindrome (10010122101001).

The spelling of 100101221010001 in words is "one hundred trillion, one hundred one billion, two hundred twenty-one million, ten thousand, one".