101688788880 has 640 divisors, whose sum is σ = 423106252800. Its totient is φ = 21929066496.

The previous prime is 101688788879. The next prime is 101688788881. The reversal of 101688788880 is 88887886101.

It is an interprime number because it is at equal distance from previous prime (101688788879) and next prime (101688788881).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (101688788881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 88194384 + ... + 88195536.

It is an arithmetic number, because the mean of its divisors is an integer number (661103520).

Almost surely, 2^101688788880 is an apocalyptic number.

101688788880 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 101688788880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211553126400).

101688788880 is an abundant number, since it is smaller than the sum of its proper divisors (321417463920).

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

101688788880 is a wasteful number, since it uses less digits than its factorization.

101688788880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 11010048, while the sum is 63.

The spelling of 101688788880 in words is "one hundred one billion, six hundred eighty-eight million, seven hundred eighty-eight thousand, eight hundred eighty".