1010200202001 has 12 divisors (see below), whose sum is σ = 1459198473460. Its totient is φ = 673457384160.

The previous prime is 1010200201951. The next prime is 1010200202009. The reversal of 1010200202001 is 1002020020101.

It can be written as a sum of positive squares in 2 ways, for example, as 685584000000 + 324616202001 = 828000^2 + 569751^2 .

It is not a de Polignac number, because 1010200202001 - 2⁶ = 1010200201937 is a prime.

It is a super-2 number, since 2×1010200202001² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010200202009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71230 + ... + 1423191.

Almost surely, 2^{1010200202001} is an apocalyptic number.

It is an amenable number.

1010200202001 is a deficient number, since it is larger than the sum of its proper divisors (448998271459).

1010200202001 is a wasteful number, since it uses less digits than its factorization.

1010200202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569536 (or 1569533 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1010200202001 its reverse (1002020020101), we get a palindrome (2012220222102).

It can be divided in two parts, 1010200 and 202001, that added together give a square (1212201 = 1101²).

The spelling of 1010200202001 in words is "one trillion, ten billion, two hundred million, two hundred two thousand, one".