10101168834240 has 896 divisors, whose sum is σ = 37294809108480. Its totient is φ = 2290681036800.

The previous prime is 10101168834191. The next prime is 10101168834241. The reversal of 10101168834240 is 4243886110101.

It is a super-2 number, since 2×10101168834240² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10101168834241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5966430834 + ... + 5966432526.

It is an arithmetic number, because the mean of its divisors is an integer number (41623670880).

Almost surely, 2^{10101168834240} is an apocalyptic number.

10101168834240 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 10101168834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18647404554240).

10101168834240 is an abundant number, since it is smaller than the sum of its proper divisors (27193640274240).

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

10101168834240 is a wasteful number, since it uses less digits than its factorization.

10101168834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 10101168834240 in words is "ten trillion, one hundred one billion, one hundred sixty-eight million, eight hundred thirty-four thousand, two hundred forty".