1000020212101 has 8 divisors (see below), whose sum is σ = 1006348027608. Its totient is φ = 993710400000.

The previous prime is 1000020212077. The next prime is 1000020212189. The reversal of 1000020212101 is 1012120200001.

It can be written as a sum of positive squares in 4 ways, for example, as 481634612001 + 518385600100 = 693999^2 + 719990^2 .

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 1000020212101 - 2¹¹ = 1000020210053 is a prime.

It is a super-2 number, since 2×1000020212101² (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 (1000020212201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4389400 + ... + 4611601.

It is an arithmetic number, because the mean of its divisors is an integer number (125793503451).

Almost surely, 2^{1000020212101} is an apocalyptic number.

It is an amenable number.

1000020212101 is a deficient number, since it is larger than the sum of its proper divisors (6327815507).

1000020212101 is an equidigital number, since it uses as much as digits as its factorization.

1000020212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9001703.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1000020212101 its reverse (1012120200001), we get a palindrome (2012140412102).

It can be divided in two parts, 1000020 and 212101, that added together give a palindrome (1212121).

The spelling of 1000020212101 in words is "one trillion, twenty million, two hundred twelve thousand, one hundred one".