101193120 has 144 divisors (see below), whose sum is σ = 394692480. Its totient is φ = 23127552.

The previous prime is 101193119. The next prime is 101193121. The reversal of 101193120 is 21391101.

It is an interprime number because it is at equal distance from previous prime (101193119) and next prime (101193121).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101193093 and 101193102.

It is not an unprimeable number, because it can be changed into a prime (101193121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5061 + ... + 15099.

It is an arithmetic number, because the mean of its divisors is an integer number (2740920).

Almost surely, 2^101193120 is an apocalyptic number.

101193120 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 101193120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197346240).

101193120 is an abundant number, since it is smaller than the sum of its proper divisors (293499360).

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

101193120 is a wasteful number, since it uses less digits than its factorization.

101193120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10067 (or 10056 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 101193120 is about 10059.4791117632. The cubic root of 101193120 is about 465.9975808356.

The spelling of 101193120 in words is "one hundred one million, one hundred ninety-three thousand, one hundred twenty".