101021021020 has 24 divisors (see below), whose sum is σ = 212322018384. Its totient is φ = 40374527616.

The previous prime is 101021020999. The next prime is 101021021021. The reversal of 101021021020 is 20120120101.

It is a super-3 number, since 3×101021021020³ (a number of 34 digits) contains 333 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 = 101021020988 and 101021021006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021021021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2093094 + ... + 2140813.

It is an arithmetic number, because the mean of its divisors is an integer number (8846750766).

Almost surely, 2^101021021020 is an apocalyptic number.

101021021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021021020 is an abundant number, since it is smaller than the sum of its proper divisors (111300997364).

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

101021021020 is a wasteful number, since it uses less digits than its factorization.

101021021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4235109 (or 4235107 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101021021020 its reverse (20120120101), we get a palindrome (121141141121).

The spelling of 101021021020 in words is "one hundred one billion, twenty-one million, twenty-one thousand, twenty".