110100211112101 has 32 divisors (see below), whose sum is σ = 129158361732608. Its totient is φ = 91905446327040.

The previous prime is 110100211111999. The next prime is 110100211112131. The reversal of 110100211112101 is 101211112001011.

It is a cyclic number.

It is not a de Polignac number, because 110100211112101 - 2²⁷ = 110100076894373 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 (110100211112131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228328411 + ... + 228810103.

It is an arithmetic number, because the mean of its divisors is an integer number (4036198804144).

Almost surely, 2^{110100211112101} is an apocalyptic number.

It is an amenable number.

110100211112101 is a deficient number, since it is larger than the sum of its proper divisors (19058150620507).

110100211112101 is a wasteful number, since it uses less digits than its factorization.

110100211112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487061.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 110100211112101 its reverse (101211112001011), we get a palindrome (211311323113112).

The spelling of 110100211112101 in words is "one hundred ten trillion, one hundred billion, two hundred eleven million, one hundred twelve thousand, one hundred one".