102110221101101 has 16 divisors (see below), whose sum is σ = 102361595600880. Its totient is φ = 101859243171840.

The previous prime is 102110221101071. The next prime is 102110221101107. The reversal of 102110221101101 is 101101122011201.

It can be written as a sum of positive squares in 8 ways, for example, as 7226042896900 + 94884178204201 = 2688130^2 + 9740851^2 .

It is a cyclic number.

It is not a de Polignac number, because 102110221101101 - 2¹⁸ = 102110220838957 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 (102110221101107) 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, 2144743385 + ... + 2144790993.

It is an arithmetic number, because the mean of its divisors is an integer number (6397599725055).

Almost surely, 2^{102110221101101} is an apocalyptic number.

It is an amenable number.

102110221101101 is a deficient number, since it is larger than the sum of its proper divisors (251374499779).

102110221101101 is a wasteful number, since it uses less digits than its factorization.

102110221101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51664.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102110221101101 its reverse (101101122011201), we get a palindrome (203211343112302).

The spelling of 102110221101101 in words is "one hundred two trillion, one hundred ten billion, two hundred twenty-one million, one hundred one thousand, one hundred one".