1020220120001 has 8 divisors (see below), whose sum is σ = 1045220958600. Its totient is φ = 995224872960.

The previous prime is 1020220119977. The next prime is 1020220120021. The reversal of 1020220120001 is 1000210220201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1301477776 + 1018918642225 = 36076^2 + 1009415^2 .

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 1020220120001 - 2¹⁰ = 1020220118977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020220120021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1027316 + ... + 1759493.

It is an arithmetic number, because the mean of its divisors is an integer number (130652619825).

Almost surely, 2^{1020220120001} is an apocalyptic number.

It is an amenable number.

1020220120001 is a deficient number, since it is larger than the sum of its proper divisors (25000838599).

1020220120001 is an equidigital number, since it uses as much as digits as its factorization.

1020220120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795779.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1020220120001 its reverse (1000210220201), we get a palindrome (2020430340202).

The spelling of 1020220120001 in words is "one trillion, twenty billion, two hundred twenty million, one hundred twenty thousand, one".