110100102101 has 16 divisors (see below), whose sum is σ = 122439403008. Its totient is φ = 98151144000.

The previous prime is 110100102083. The next prime is 110100102109. The reversal of 110100102101 is 101201001011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 110100102101 - 2¹⁰ = 110100101077 is a prime.

It is a super-2 number, since 2×110100102101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110100102109) 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, 1089035 + ... + 1185831.

It is an arithmetic number, because the mean of its divisors is an integer number (7652462688).

Almost surely, 2^110100102101 is an apocalyptic number.

110100102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110100102101 is a deficient number, since it is larger than the sum of its proper divisors (12339300907).

110100102101 is a wasteful number, since it uses less digits than its factorization.

110100102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98812.

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

Adding to 110100102101 its reverse (101201001011), we get a palindrome (211301103112).

The spelling of 110100102101 in words is "one hundred ten billion, one hundred million, one hundred two thousand, one hundred one".