101003120 has 80 divisors (see below), whose sum is σ = 259536960. Its totient is φ = 36360192.

The previous prime is 101003101. The next prime is 101003179. The reversal of 101003120 is 21300101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 101003098 and 101003107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29666 + ... + 32894.

It is an arithmetic number, because the mean of its divisors is an integer number (3244212).

Almost surely, 2^101003120 is an apocalyptic number.

101003120 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 101003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129768480).

101003120 is an abundant number, since it is smaller than the sum of its proper divisors (158533840).

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

101003120 is a wasteful number, since it uses less digits than its factorization.

101003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3282 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 101003120 is about 10050.0308457238. The cubic root of 101003120 is about 465.7057460675.

Adding to 101003120 its reverse (21300101), we get a palindrome (122303221).

The spelling of 101003120 in words is "one hundred one million, three thousand, one hundred twenty".