101000120 has 64 divisors (see below), whose sum is σ = 250477920. Its totient is φ = 36417024.

The previous prime is 101000117. The next prime is 101000161. The reversal of 101000120 is 21000101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20102 + ... + 24618.

Almost surely, 2^101000120 is an apocalyptic number.

101000120 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 101000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125238960).

101000120 is an abundant number, since it is smaller than the sum of its proper divisors (149477800).

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

101000120 is a wasteful number, since it uses less digits than its factorization.

101000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4584 (or 4580 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 101000120 is about 10049.8815913423. The cubic root of 101000120 is about 465.7011352163.

Adding to 101000120 its reverse (21000101), we get a palindrome (122000221).

The spelling of 101000120 in words is "one hundred one million, one hundred twenty", and thus it is an aban number.