101009408911488 has 640 divisors, whose sum is σ = 394502136652800. Its totient is φ = 24855353210880.

The previous prime is 101009408911457. The next prime is 101009408911511. The reversal of 101009408911488 is 884119804900101.

101009408911488 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 0 + 9 + 408 + 91 + 148 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11838781 + ... + 18497987.

It is an arithmetic number, because the mean of its divisors is an integer number (616409588520).

Almost surely, 2^{101009408911488} is an apocalyptic number.

101009408911488 is a gapful number since it is divisible by the number (18) 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 101009408911488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197251068326400).

101009408911488 is an abundant number, since it is smaller than the sum of its proper divisors (293492727741312).

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

101009408911488 is a wasteful number, since it uses less digits than its factorization.

101009408911488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6659270 (or 6659249 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 54.

The spelling of 101009408911488 in words is "one hundred one trillion, nine billion, four hundred eight million, nine hundred eleven thousand, four hundred eighty-eight".