101231020 has 72 divisors (see below), whose sum is σ = 237963600. Its totient is φ = 36136320.

The previous prime is 101230999. The next prime is 101231021. The reversal of 101231020 is 20132101.

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 = 101230988 and 101231006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101231021) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 142426 + ... + 143134.

It is an arithmetic number, because the mean of its divisors is an integer number (3305050).

Almost surely, 2^101231020 is an apocalyptic number.

101231020 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 101231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118981800).

101231020 is an abundant number, since it is smaller than the sum of its proper divisors (136732580).

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

101231020 is a wasteful number, since it uses less digits than its factorization.

101231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 786 counting only the distinct ones).

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

The square root of 101231020 is about 10061.3627307637. The cubic root of 101231020 is about 466.0557504815.

Adding to 101231020 its reverse (20132101), we get a palindrome (121363121).

The spelling of 101231020 in words is "one hundred one million, two hundred thirty-one thousand, twenty".