1010002010201 has 16 divisors (see below), whose sum is σ = 1088504049600. Its totient is φ = 933649678848.

The previous prime is 1010002010191. The next prime is 1010002010219. The reversal of 1010002010201 is 1020102000101.

1010002010201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-1010002010201 is a prime.

It is a super-2 number, since 2×1010002010201² (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 (1010002013201) 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, 686426 + ... + 1578348.

It is an arithmetic number, because the mean of its divisors is an integer number (68031503100).

Almost surely, 2^{1010002010201} is an apocalyptic number.

It is an amenable number.

1010002010201 is a deficient number, since it is larger than the sum of its proper divisors (78502039399).

1010002010201 is a wasteful number, since it uses less digits than its factorization.

1010002010201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893128.

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

Adding to 1010002010201 its reverse (1020102000101), we get a palindrome (2030104010302).

The spelling of 1010002010201 in words is "one trillion, ten billion, two million, ten thousand, two hundred one".