1102100000001 has 32 divisors (see below), whose sum is σ = 1972990215168. Its totient is φ = 528479519040.

The previous prime is 1102099999991. The next prime is 1102100000009. The reversal of 1102100000001 is 1000000012011.

It is not a de Polignac number, because 1102100000001 - 2¹⁵ = 1102099967233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1102100000009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183496831 + ... + 183502836.

It is an arithmetic number, because the mean of its divisors is an integer number (61655944224).

Almost surely, 2^{1102100000001} is an apocalyptic number.

1102100000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1102100000001 is a deficient number, since it is larger than the sum of its proper divisors (870890215167).

1102100000001 is a wasteful number, since it uses less digits than its factorization.

1102100000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366999701.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1102100000001 its reverse (1000000012011), we get a palindrome (2102100012012).

The spelling of 1102100000001 in words is "one trillion, one hundred two billion, one hundred million, one", and thus it is an aban number.