1102100112201 has 16 divisors (see below), whose sum is σ = 1604290742208. Its totient is φ = 667424448000.

The previous prime is 1102100112187. The next prime is 1102100112233. The reversal of 1102100112201 is 1022110012011.

It is a de Polignac number, because none of the positive numbers 2^k-1102100112201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1102100112101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12831900 + ... + 12917501.

It is an arithmetic number, because the mean of its divisors is an integer number (100268171388).

Almost surely, 2^{1102100112201} is an apocalyptic number.

1102100112201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1102100112201 is a deficient number, since it is larger than the sum of its proper divisors (502190630007).

1102100112201 is a wasteful number, since it uses less digits than its factorization.

1102100112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25750712.

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

Adding to 1102100112201 its reverse (1022110012011), we get a palindrome (2124210124212).

The spelling of 1102100112201 in words is "one trillion, one hundred two billion, one hundred million, one hundred twelve thousand, two hundred one".