100801171139760 has 2880 divisors, whose sum is σ = 468913319626752. Its totient is φ = 19544603000832.

The previous prime is 100801171139729. The next prime is 100801171139783. The reversal of 100801171139760 is 67931171108001.

It is a happy number.

100801171139760 is a `hidden beast` number, since 1 + 0 + 0 + 80 + 117 + 11 + 397 + 60 = 666.

It is a super-2 number, since 2×100801171139760² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 34915541037 + ... + 34915543923.

Almost surely, 2^{100801171139760} is an apocalyptic number.

100801171139760 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 100801171139760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234456659813376).

100801171139760 is an abundant number, since it is smaller than the sum of its proper divisors (368112148486992).

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

100801171139760 is a wasteful number, since it uses less digits than its factorization.

100801171139760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 45.

The spelling of 100801171139760 in words is "one hundred trillion, eight hundred one billion, one hundred seventy-one million, one hundred thirty-nine thousand, seven hundred sixty".