101102302314 has 96 divisors (see below), whose sum is σ = 248467302720. Its totient is φ = 29453808384.

The previous prime is 101102302307. The next prime is 101102302337. The reversal of 101102302314 is 413203201101.

101102302314 is a `hidden beast` number, since 10 + 110 + 230 + 2 + 314 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8899662 + ... + 8911014.

It is an arithmetic number, because the mean of its divisors is an integer number (2588201070).

Almost surely, 2^101102302314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101102302314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124233651360).

101102302314 is an abundant number, since it is smaller than the sum of its proper divisors (147365000406).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101102302314 is a wasteful number, since it uses less digits than its factorization.

101102302314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13396 (or 13393 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101102302314 its reverse (413203201101), we get a palindrome (514305503415).

The spelling of 101102302314 in words is "one hundred one billion, one hundred two million, three hundred two thousand, three hundred fourteen".