1000201020101 has 16 divisors (see below), whose sum is σ = 1032779386800. Its totient is φ = 968294688768.

The previous prime is 1000201020067. The next prime is 1000201020103. The reversal of 1000201020101 is 1010201020001.

It can be written as a sum of positive squares in 8 ways, for example, as 18369736225 + 981831283876 = 135535^2 + 990874^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000201020101 is a prime.

It is a super-2 number, since 2×1000201020101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000201020103) 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, 328235 + ... + 1451943.

It is an arithmetic number, because the mean of its divisors is an integer number (64548711675).

Almost surely, 2^{1000201020101} is an apocalyptic number.

It is an amenable number.

1000201020101 is a deficient number, since it is larger than the sum of its proper divisors (32578366699).

1000201020101 is a wasteful number, since it uses less digits than its factorization.

1000201020101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124008.

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

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

The spelling of 1000201020101 in words is "one trillion, two hundred one million, twenty thousand, one hundred one".