101888141080 has 128 divisors (see below), whose sum is σ = 253874191680. Its totient is φ = 36490936320.

The previous prime is 101888141057. The next prime is 101888141081. The reversal of 101888141080 is 80141888101.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101888141081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28167432 + ... + 28171048.

Almost surely, 2^101888141080 is an apocalyptic number.

101888141080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101888141080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126937095840).

101888141080 is an abundant number, since it is smaller than the sum of its proper divisors (151986050600).

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

101888141080 is a wasteful number, since it uses less digits than its factorization.

101888141080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4589 (or 4585 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 40.

The spelling of 101888141080 in words is "one hundred one billion, eight hundred eighty-eight million, one hundred forty-one thousand, eighty".