102112011110101 has 8 divisors (see below), whose sum is σ = 102259909585944. Its totient is φ = 101964148638720.

The previous prime is 102112011110017. The next prime is 102112011110113. The reversal of 102112011110101 is 101011110211201.

It can be written as a sum of positive squares in 4 ways, for example, as 20800221647076 + 81311789463025 = 4560726^2 + 9017305^2 .

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 102112011110101 - 2²³ = 102112002721493 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 (102112011150101) 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, 3322230 + ... + 14671783.

It is an arithmetic number, because the mean of its divisors is an integer number (12782488698243).

Almost surely, 2^{102112011110101} is an apocalyptic number.

It is an amenable number.

102112011110101 is a deficient number, since it is larger than the sum of its proper divisors (147898475843).

102112011110101 is an equidigital number, since it uses as much as digits as its factorization.

102112011110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18002231.

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

Adding to 102112011110101 its reverse (101011110211201), we get a palindrome (203123121321302).

The spelling of 102112011110101 in words is "one hundred two trillion, one hundred twelve billion, eleven million, one hundred ten thousand, one hundred one".