2102102226001 has 2 divisors, whose sum is σ = 2102102226002. Its totient is φ = 2102102226000.

The previous prime is 2102102225981. The next prime is 2102102226067. The reversal of 2102102226001 is 1006222012012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1166918457600 + 935183768401 = 1080240^2 + 967049^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102102226001 - 2²⁵ = 2102068671569 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2102102226001.

It is not a weakly prime, because it can be changed into another prime (2102102226101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051051113000 + 1051051113001.

It is an arithmetic number, because the mean of its divisors is an integer number (1051051113001).

Almost surely, 2^{2102102226001} is an apocalyptic number.

It is an amenable number.

2102102226001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102102226001 is an equidigital number, since it uses as much as digits as its factorization.

2102102226001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 2102102226001 its reverse (1006222012012), we get a palindrome (3108324238013).

The spelling of 2102102226001 in words is "two trillion, one hundred two billion, one hundred two million, two hundred twenty-six thousand, one".