2101221010001 has 2 divisors, whose sum is σ = 2101221010002. Its totient is φ = 2101221010000.

The previous prime is 2101221009967. The next prime is 2101221010019. The reversal of 2101221010001 is 1000101221012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1314095395600 + 787125614401 = 1146340^2 + 887201^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101221010001 - 2²² = 2101216815697 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2101221010051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050610505000 + 1050610505001.

It is an arithmetic number, because the mean of its divisors is an integer number (1050610505001).

Almost surely, 2^{2101221010001} is an apocalyptic number.

It is an amenable number.

2101221010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101221010001 is an equidigital number, since it uses as much as digits as its factorization.

2101221010001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2101221010001 its reverse (1000101221012), we get a palindrome (3101322231013).

The spelling of 2101221010001 in words is "two trillion, one hundred one billion, two hundred twenty-one million, ten thousand, one".