110101111012101 has 16 divisors (see below), whose sum is σ = 160147257638400. Its totient is φ = 66727868119920.

The previous prime is 110101111012097. The next prime is 110101111012117. The reversal of 110101111012101 is 101210111101011.

It is not a de Polignac number, because 110101111012101 - 2² = 110101111012097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110101111002101) 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, 40586350 + ... + 43214048.

It is an arithmetic number, because the mean of its divisors is an integer number (10009203602400).

Almost surely, 2^{110101111012101} is an apocalyptic number.

110101111012101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110101111012101 is a deficient number, since it is larger than the sum of its proper divisors (50046146626299).

110101111012101 is a wasteful number, since it uses less digits than its factorization.

110101111012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3897416.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 110101111012101 its reverse (101210111101011), we get a palindrome (211311222113112).

The spelling of 110101111012101 in words is "one hundred ten trillion, one hundred one billion, one hundred eleven million, twelve thousand, one hundred one".