101021020 has 24 divisors (see below), whose sum is σ = 212333184. Its totient is φ = 40372416.

The previous prime is 101021003. The next prime is 101021027. The reversal of 101021020 is 20120101.

It is a junction number, because it is equal to n+sod(n) for n = 101020994 and 101021012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41682 + ... + 44038.

It is an arithmetic number, because the mean of its divisors is an integer number (8847216).

Almost surely, 2^101021020 is an apocalyptic number.

101021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021020 is an abundant number, since it is smaller than the sum of its proper divisors (111312164).

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

101021020 is a wasteful number, since it uses less digits than its factorization.

101021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4509 (or 4507 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 101021020 is about 10050.9213508016. The cubic root of 101021020 is about 465.7332555823.

Adding to 101021020 its reverse (20120101), we get a palindrome (121141121).

The spelling of 101021020 in words is "one hundred one million, twenty-one thousand, twenty".