101001120 has 288 divisors, whose sum is σ = 366799104. Its totient is φ = 23316480.

The previous prime is 101001091. The next prime is 101001133. The reversal of 101001120 is 21100101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 101001099 and 101001108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2148937 + ... + 2148983.

It is an arithmetic number, because the mean of its divisors is an integer number (1273608).

Almost surely, 2^101001120 is an apocalyptic number.

101001120 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 101001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183399552).

101001120 is an abundant number, since it is smaller than the sum of its proper divisors (265797984).

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

101001120 is a wasteful number, since it uses less digits than its factorization.

101001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 101001120 is about 10049.9313430491. The cubic root of 101001120 is about 465.7026721769.

Adding to 101001120 its reverse (21100101), we get a palindrome (122101221).

The spelling of 101001120 in words is "one hundred one million, one thousand, one hundred twenty".