110010120100101 has 48 divisors (see below), whose sum is σ = 172864280652336. Its totient is φ = 67014001410048.

The previous prime is 110010120100081. The next prime is 110010120100169. The reversal of 110010120100101 is 101001021010011.

It can be written as a sum of positive squares in 8 ways, for example, as 14670010721025 + 95340109379076 = 3830145^2 + 9764226^2 .

It is not a de Polignac number, because 110010120100101 - 2⁶ = 110010120100037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110010120180101) 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 47 ways as a sum of consecutive naturals, for example, 4063000 + ... + 15379473.

It is an arithmetic number, because the mean of its divisors is an integer number (3601339180257).

Almost surely, 2^{110010120100101} is an apocalyptic number.

It is an amenable number.

110010120100101 is a deficient number, since it is larger than the sum of its proper divisors (62854160552235).

110010120100101 is a wasteful number, since it uses less digits than its factorization.

110010120100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19442982 (or 19442979 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110010120100101 its reverse (101001021010011), we get a palindrome (211011141110112).

The spelling of 110010120100101 in words is "one hundred ten trillion, ten billion, one hundred twenty million, one hundred thousand, one hundred one".