101388913920 has 1152 divisors, whose sum is σ = 441857203200. Its totient is φ = 21488467968.

The previous prime is 101388913891. The next prime is 101388913931. The reversal of 101388913920 is 29319883101.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 366024822 + ... + 366025098.

It is an arithmetic number, because the mean of its divisors is an integer number (383556600).

Almost surely, 2^101388913920 is an apocalyptic number.

101388913920 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 101388913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220928601600).

101388913920 is an abundant number, since it is smaller than the sum of its proper divisors (340468289280).

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

101388913920 is a wasteful number, since it uses less digits than its factorization.

101388913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 101388913920 in words is "one hundred one billion, three hundred eighty-eight million, nine hundred thirteen thousand, nine hundred twenty".