1102200102001 has 16 divisors (see below), whose sum is σ = 1154391598800. Its totient is φ = 1052233902720.

The previous prime is 1102200101993. The next prime is 1102200102013. The reversal of 1102200102001 is 1002010022011.

It can be written as a sum of positive squares in 8 ways, for example, as 430703438400 + 671496663601 = 656280^2 + 819449^2 .

It is not a de Polignac number, because 1102200102001 - 2³ = 1102200101993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1102200102071) 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 15 ways as a sum of consecutive naturals, for example, 1916731 + ... + 2424511.

It is an arithmetic number, because the mean of its divisors is an integer number (72149474925).

Almost surely, 2^{1102200102001} is an apocalyptic number.

It is an amenable number.

1102200102001 is a deficient number, since it is larger than the sum of its proper divisors (52191496799).

1102200102001 is an frugal number, since it uses more digits than its factorization.

1102200102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507957 (or 507899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1102200102001 its reverse (1002010022011), we get a palindrome (2104210124012).

It can be divided in two parts, 110220010 and 2001, that added together give a palindrome (110222011).

The spelling of 1102200102001 in words is "one trillion, one hundred two billion, two hundred million, one hundred two thousand, one".