1102100101001 has 4 divisors (see below), whose sum is σ = 1127730335952. Its totient is φ = 1076469866052.

The previous prime is 1102100100989. The next prime is 1102100101021. The reversal of 1102100101001 is 1001010012011.

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 1102100101001 - 2³⁴ = 1084920231817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1102100101001.

It is not an unprimeable number, because it can be changed into a prime (1102100101021) 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 3 ways as a sum of consecutive naturals, for example, 12815117411 + ... + 12815117496.

It is an arithmetic number, because the mean of its divisors is an integer number (281932583988).

Almost surely, 2^{1102100101001} is an apocalyptic number.

It is an amenable number.

1102100101001 is a deficient number, since it is larger than the sum of its proper divisors (25630234951).

1102100101001 is an equidigital number, since it uses as much as digits as its factorization.

1102100101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25630234950.

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

Adding to 1102100101001 its reverse (1001010012011), we get a palindrome (2103110113012).

The spelling of 1102100101001 in words is "one trillion, one hundred two billion, one hundred million, one hundred one thousand, one".