110010100202101 has 16 divisors (see below), whose sum is σ = 123489408526848. Its totient is φ = 97132400236800.

The previous prime is 110010100202071. The next prime is 110010100202141. The reversal of 110010100202101 is 101202001010011.

It is a cyclic number.

It is not a de Polignac number, because 110010100202101 - 2⁷ = 110010100201973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110010100202141) 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, 546816096 + ... + 547017241.

It is an arithmetic number, because the mean of its divisors is an integer number (7718088032928).

Almost surely, 2^{110010100202101} is an apocalyptic number.

110010100202101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110010100202101 is a deficient number, since it is larger than the sum of its proper divisors (13479308324747).

110010100202101 is a wasteful number, since it uses less digits than its factorization.

110010100202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093833612.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110010100202101 its reverse (101202001010011), we get a palindrome (211212101212112).

The spelling of 110010100202101 in words is "one hundred ten trillion, ten billion, one hundred million, two hundred two thousand, one hundred one".