1102101100001 has 4 divisors (see below), whose sum is σ = 1202292109104. Its totient is φ = 1001910090900.

The previous prime is 1102101099971. The next prime is 1102101100021. The reversal of 1102101100001 is 1000011012011.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1102101100001 - 2²⁶ = 1102033991137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1102101100021) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50095504535 + ... + 50095504556.

It is an arithmetic number, because the mean of its divisors is an integer number (300573027276).

Almost surely, 2^{1102101100001} is an apocalyptic number.

1102101100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1102101100001 is a deficient number, since it is larger than the sum of its proper divisors (100191009103).

1102101100001 is a wasteful number, since it uses less digits than its factorization.

1102101100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100191009102.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1102101100001 its reverse (1000011012011), we get a palindrome (2102112112012).

The spelling of 1102101100001 in words is "one trillion, one hundred two billion, one hundred one million, one hundred thousand, one".