1802121111001 has 12 divisors (see below), whose sum is σ = 1872954192060. Its totient is φ = 1733713724160.

The previous prime is 1802121110987. The next prime is 1802121111031. The reversal of 1802121111001 is 1001111212081.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 210978536976 + 1591142574025 = 459324^2 + 1261405^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1802121111001 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 1802121111001.

It is not an unprimeable number, because it can be changed into a prime (1802121111031) 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 11 ways as a sum of consecutive naturals, for example, 7273540 + ... + 7517221.

It is an arithmetic number, because the mean of its divisors is an integer number (156079516005).

Almost surely, 2^{1802121111001} is an apocalyptic number.

It is an amenable number.

1802121111001 is a deficient number, since it is larger than the sum of its proper divisors (70833081059).

1802121111001 is an equidigital number, since it uses as much as digits as its factorization.

1802121111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14790924 (or 14790887 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 1802121111001 its reverse (1001111212081), we get a palindrome (2803232323082).

The spelling of 1802121111001 in words is "one trillion, eight hundred two billion, one hundred twenty-one million, one hundred eleven thousand, one".