101911059909120 has 640 divisors, whose sum is σ = 408293427548160. Its totient is φ = 21066578657280.

The previous prime is 101911059909119. The next prime is 101911059909137. The reversal of 101911059909120 is 21909950119101.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 101911059909120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113686021 + ... + 114578939.

It is an arithmetic number, because the mean of its divisors is an integer number (637958480544).

Almost surely, 2^{101911059909120} is an apocalyptic number.

101911059909120 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 101911059909120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204146713774080).

101911059909120 is an abundant number, since it is smaller than the sum of its proper divisors (306382367639040).

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

101911059909120 is a wasteful number, since it uses less digits than its factorization.

101911059909120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893156 (or 893140 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 48.

The spelling of 101911059909120 in words is "one hundred one trillion, nine hundred eleven billion, fifty-nine million, nine hundred nine thousand, one hundred twenty".