110000102112101 has 8 divisors (see below), whose sum is σ = 110824294742040. Its totient is φ = 109176217774848.

The previous prime is 110000102112037. The next prime is 110000102112119. The reversal of 110000102112101 is 101211201000011.

It can be written as a sum of positive squares in 4 ways, for example, as 51489091848100 + 58511010264001 = 7175590^2 + 7649249^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 110000102112101 - 2⁶ = 110000102112037 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 (110000102102101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76356866 + ... + 77784131.

It is an arithmetic number, because the mean of its divisors is an integer number (13853036842755).

Almost surely, 2^{110000102112101} is an apocalyptic number.

It is an amenable number.

110000102112101 is a deficient number, since it is larger than the sum of its proper divisors (824192629939).

110000102112101 is a wasteful number, since it uses less digits than its factorization.

110000102112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154146343.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 110000102112101 its reverse (101211201000011), we get a palindrome (211211303112112).

The spelling of 110000102112101 in words is "one hundred ten trillion, one hundred two million, one hundred twelve thousand, one hundred one".