2101300221001 has 16 divisors (see below), whose sum is σ = 2244870278928. Its totient is φ = 1959952691200.

The previous prime is 2101300220963. The next prime is 2101300221017. The reversal of 2101300221001 is 1001220031012.

It can be written as a sum of positive squares in 8 ways, for example, as 225287876025 + 1876012344976 = 474645^2 + 1369676^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101300221001 - 2¹⁷ = 2101300089929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101300221401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16728891 + ... + 16854031.

It is an arithmetic number, because the mean of its divisors is an integer number (140304392433).

Almost surely, 2^{2101300221001} is an apocalyptic number.

It is an amenable number.

2101300221001 is a deficient number, since it is larger than the sum of its proper divisors (143570057927).

2101300221001 is a wasteful number, since it uses less digits than its factorization.

2101300221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134012.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 2101300221001 its reverse (1001220031012), we get a palindrome (3102520252013).

The spelling of 2101300221001 in words is "two trillion, one hundred one billion, three hundred million, two hundred twenty-one thousand, one".