1010201020001 has 16 divisors (see below), whose sum is σ = 1034834082048. Its totient is φ = 985906540800.

The previous prime is 1010201019977. The next prime is 1010201020013. The reversal of 1010201020001 is 1000201020101.

It is a cyclic number.

It is not a de Polignac number, because 1010201020001 - 2²² = 1010196825697 is a prime.

It is a super-2 number, since 2×1010201020001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010201020061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2947916 + ... + 3272706.

It is an arithmetic number, because the mean of its divisors is an integer number (64677130128).

Almost surely, 2^{1010201020001} is an apocalyptic number.

It is an amenable number.

1010201020001 is a deficient number, since it is larger than the sum of its proper divisors (24633062047).

1010201020001 is a wasteful number, since it uses less digits than its factorization.

1010201020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325312.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1010201020001 its reverse (1000201020101), we get a palindrome (2010402040102).

The spelling of 1010201020001 in words is "one trillion, ten billion, two hundred one million, twenty thousand, one".