101033020 has 96 divisors (see below), whose sum is σ = 247919616. Its totient is φ = 34214400.

The previous prime is 101032963. The next prime is 101033039. The reversal of 101033020 is 20330101.

It is a super-2 number, since 2×101033020² = 20415342260640800, which contains 22 as substring.

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 = 101032988 and 101033006.

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 31 ways as a sum of consecutive naturals, for example, 207217 + ... + 207703.

It is an arithmetic number, because the mean of its divisors is an integer number (2582496).

Almost surely, 2^101033020 is an apocalyptic number.

101033020 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 101033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123959808).

101033020 is an abundant number, since it is smaller than the sum of its proper divisors (146886596).

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

101033020 is a wasteful number, since it uses less digits than its factorization.

101033020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 101033020 is about 10051.5182932729. The cubic root of 101033020 is about 465.7516958956.

Adding to 101033020 its reverse (20330101), we get a palindrome (121363121).

The spelling of 101033020 in words is "one hundred one million, thirty-three thousand, twenty".