1000000202101 has 8 divisors (see below), whose sum is σ = 1001012203800. Its totient is φ = 998988515328.

The previous prime is 1000000202087. The next prime is 1000000202107. The reversal of 1000000202101 is 1012020000001.

It can be written as a sum of positive squares in 4 ways, for example, as 10353266001 + 989646936100 = 101751^2 + 994810^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000000202101 - 2¹¹ = 1000000200053 is a prime.

It is a super-3 number, since 3×1000000202101³ (a number of 37 digits) contains 333 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 (1000000202107) 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 7 ways as a sum of consecutive naturals, for example, 6556035 + ... + 6706831.

It is an arithmetic number, because the mean of its divisors is an integer number (125126525475).

Almost surely, 2^{1000000202101} is an apocalyptic number.

It is an amenable number.

1000000202101 is a deficient number, since it is larger than the sum of its proper divisors (1012001699).

1000000202101 is a wasteful number, since it uses less digits than its factorization.

1000000202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157463.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1000000202101 its reverse (1012020000001), we get a palindrome (2012020202102).

The spelling of 1000000202101 in words is "one trillion, two hundred two thousand, one hundred one".