101023014114 has 192 divisors, whose sum is σ = 259604497152. Its totient is φ = 28043366400.

The previous prime is 101023014107. The next prime is 101023014161. The reversal of 101023014114 is 411410320101.

101023014114 is a `hidden beast` number, since 10 + 10 + 230 + 1 + 411 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104470059 + ... + 104471025.

It is an arithmetic number, because the mean of its divisors is an integer number (1352106756).

Almost surely, 2^101023014114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101023014114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129802248576).

101023014114 is an abundant number, since it is smaller than the sum of its proper divisors (158581483038).

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

101023014114 is a wasteful number, since it uses less digits than its factorization.

101023014114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101023014114 its reverse (411410320101), we get a palindrome (512433334215).

The spelling of 101023014114 in words is "one hundred one billion, twenty-three million, fourteen thousand, one hundred fourteen".