1002202211101 has 12 divisors (see below), whose sum is σ = 1255506067452. Its totient is φ = 792951199488.

The previous prime is 1002202211083. The next prime is 1002202211123. The reversal of 1002202211101 is 1011122022001.

It can be written as a sum of positive squares in 2 ways, for example, as 128676451225 + 873525759876 = 358715^2 + 934626^2 .

It is not a de Polignac number, because 1002202211101 - 2¹⁷ = 1002202080029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is the 1001101-st Hogben number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002202211201) by changing a digit.

It is a nontrivial repunit in base 1001100.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 786657300 + ... + 786658573.

It is an arithmetic number, because the mean of its divisors is an integer number (104625505621).

Almost surely, 2^{1002202211101} is an apocalyptic number.

It is an amenable number.

1002202211101 is a deficient number, since it is larger than the sum of its proper divisors (253303856351).

1002202211101 is a wasteful number, since it uses less digits than its factorization.

1002202211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573315900 (or 1573315893 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1002202211101 its reverse (1011122022001), we get a palindrome (2013324233102).

The spelling of 1002202211101 in words is "one trillion, two billion, two hundred two million, two hundred eleven thousand, one hundred one".