1020000212001 has 12 divisors (see below), whose sum is σ = 1473884041812. Its totient is φ = 679746109536.

The previous prime is 1020000211949. The next prime is 1020000212039. The reversal of 1020000212001 is 1002120000201.

It can be written as a sum of positive squares in 2 ways, for example, as 565690511376 + 454309700625 = 752124^2 + 674025^2 .

It is not a de Polignac number, because 1020000212001 - 2¹¹ = 1020000209953 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1020000212201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21143886 + ... + 21192071.

It is an arithmetic number, because the mean of its divisors is an integer number (122823670151).

Almost surely, 2^{1020000212001} is an apocalyptic number.

It is an amenable number.

1020000212001 is a deficient number, since it is larger than the sum of its proper divisors (453883829811).

1020000212001 is a wasteful number, since it uses less digits than its factorization.

1020000212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42338640 (or 42338637 counting only the distinct ones).

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

Adding to 1020000212001 its reverse (1002120000201), we get a palindrome (2022120212202).

The spelling of 1020000212001 in words is "one trillion, twenty billion, two hundred twelve thousand, one".