10021211010001 has 16 divisors (see below), whose sum is σ = 10052292268368. Its totient is φ = 9990190080000.

The previous prime is 10021211009963. The next prime is 10021211010011. The reversal of 10021211010001 is 10001011212001.

It can be written as a sum of positive squares in 8 ways, for example, as 8021362504401 + 1999848505600 = 2832201^2 + 1414160^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021211010001 - 2¹⁵ = 10021210977233 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10021211010001.

It is not an unprimeable number, because it can be changed into a prime (10021211010011) 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, 1436317425 + ... + 1436324401.

It is an arithmetic number, because the mean of its divisors is an integer number (628268266773).

Almost surely, 2^{10021211010001} is an apocalyptic number.

It is an amenable number.

10021211010001 is a deficient number, since it is larger than the sum of its proper divisors (31081258367).

10021211010001 is a wasteful number, since it uses less digits than its factorization.

10021211010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10692.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10021211010001 its reverse (10001011212001), we get a palindrome (20022222222002).

The spelling of 10021211010001 in words is "ten trillion, twenty-one billion, two hundred eleven million, ten thousand, one".