101032120 has 96 divisors (see below), whose sum is σ = 278456400. Its totient is φ = 32804352.

The previous prime is 101032079. The next prime is 101032121. The reversal of 101032120 is 21230101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101032097 and 101032106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101032121) 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, 35884 + ... + 38596.

Almost surely, 2^101032120 is an apocalyptic number.

101032120 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 101032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139228200).

101032120 is an abundant number, since it is smaller than the sum of its proper divisors (177424280).

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

101032120 is a wasteful number, since it uses less digits than its factorization.

101032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 101032120 is about 10051.4735238173. The cubic root of 101032120 is about 465.7503129228.

Adding to 101032120 its reverse (21230101), we get a palindrome (122262221).

The spelling of 101032120 in words is "one hundred one million, thirty-two thousand, one hundred twenty".