110102200210101 has 16 divisors (see below), whose sum is σ = 160153552885248. Its totient is φ = 66726565340400.

The previous prime is 110102200210087. The next prime is 110102200210129. The reversal of 110102200210101 is 101012002201011.

It is not a de Polignac number, because 110102200210101 - 2⁴¹ = 107903176954549 is a prime.

It is a super-2 number, since 2×110102200210101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110102200210801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49925505 + ... + 52084166.

It is an arithmetic number, because the mean of its divisors is an integer number (10009597055328).

Almost surely, 2^{110102200210101} is an apocalyptic number.

110102200210101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110102200210101 is a deficient number, since it is larger than the sum of its proper divisors (50051352675147).

110102200210101 is a wasteful number, since it uses less digits than its factorization.

110102200210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102042392.

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

Adding to 110102200210101 its reverse (101012002201011), we get a palindrome (211114202411112).

The spelling of 110102200210101 in words is "one hundred ten trillion, one hundred two billion, two hundred million, two hundred ten thousand, one hundred one".