1102121100201 has 64 divisors (see below), whose sum is σ = 1773302803200. Its totient is φ = 600972288000.

The previous prime is 1102121100191. The next prime is 1102121100209. The reversal of 1102121100201 is 1020011212011.

It is not a de Polignac number, because 1102121100201 - 2⁹ = 1102121099689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1102121100209) 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 63 ways as a sum of consecutive naturals, for example, 1307805 + ... + 1978533.

It is an arithmetic number, because the mean of its divisors is an integer number (27707856300).

Almost surely, 2^{1102121100201} is an apocalyptic number.

1102121100201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1102121100201 is a deficient number, since it is larger than the sum of its proper divisors (671181702999).

1102121100201 is a wasteful number, since it uses less digits than its factorization.

1102121100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670890.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1102121100201 its reverse (1020011212011), we get a palindrome (2122132312212).

The spelling of 1102121100201 in words is "one trillion, one hundred two billion, one hundred twenty-one million, one hundred thousand, two hundred one".