101335094085120 has 640 divisors, whose sum is σ = 412645896115200. Its totient is φ = 20652456148992.

The previous prime is 101335094085109. The next prime is 101335094085143. The reversal of 101335094085120 is 21580490533101.

It is a happy number.

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 (42).

It is a congruent number.

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, 14446596 + ... + 20282364.

It is an arithmetic number, because the mean of its divisors is an integer number (644759212680).

Almost surely, 2^{101335094085120} is an apocalyptic number.

101335094085120 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 101335094085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206322948057600).

101335094085120 is an abundant number, since it is smaller than the sum of its proper divisors (311310802030080).

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

101335094085120 is a wasteful number, since it uses less digits than its factorization.

101335094085120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5835838 (or 5835822 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 101335094085120 in words is "one hundred one trillion, three hundred thirty-five billion, ninety-four million, eighty-five thousand, one hundred twenty".