101010345888 has 96 divisors (see below), whose sum is σ = 270670159872. Its totient is φ = 32975712000.

The previous prime is 101010345883. The next prime is 101010345973. The reversal of 101010345888 is 888543010101.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (101010345883) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 980145 + ... + 1078287.

It is an arithmetic number, because the mean of its divisors is an integer number (2819480832).

Almost surely, 2^101010345888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101010345888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135335079936).

101010345888 is an abundant number, since it is smaller than the sum of its proper divisors (169659813984).

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

101010345888 is a wasteful number, since it uses less digits than its factorization.

101010345888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98378 (or 98370 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 39.

Adding to 101010345888 its reverse (888543010101), we get a palindrome (989553355989).

The spelling of 101010345888 in words is "one hundred one billion, ten million, three hundred forty-five thousand, eight hundred eighty-eight".