101011020 has 96 divisors (see below), whose sum is σ = 318560256. Its totient is φ = 23692800.

The previous prime is 101011019. The next prime is 101011033. The reversal of 101011020 is 20110101.

It is a super-3 number, since 3×101011020³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 17992 + ... + 22928.

It is an arithmetic number, because the mean of its divisors is an integer number (3318336).

Almost surely, 2^101011020 is an apocalyptic number.

101011020 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 101011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159280128).

101011020 is an abundant number, since it is smaller than the sum of its proper divisors (217549236).

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

101011020 is a wasteful number, since it uses less digits than its factorization.

101011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4991 (or 4989 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 101011020 is about 10050.4238716583. The cubic root of 101011020 is about 465.7178875389.

Adding to 101011020 its reverse (20110101), we get a palindrome (121121121).

The spelling of 101011020 in words is "one hundred one million, eleven thousand, twenty".