101120020 has 24 divisors (see below), whose sum is σ = 214741800. Its totient is φ = 39992832.

The previous prime is 101120009. The next prime is 101120021. The reversal of 101120020 is 20021101.

It can be written as a sum of positive squares in 4 ways, for example, as 4648336 + 96471684 = 2156^2 + 9822^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101119985 and 101120012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120021) 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 7 ways as a sum of consecutive naturals, for example, 26625 + ... + 30184.

It is an arithmetic number, because the mean of its divisors is an integer number (8947575).

Almost surely, 2^101120020 is an apocalyptic number.

101120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120020 is an abundant number, since it is smaller than the sum of its proper divisors (113621780).

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

101120020 is a wasteful number, since it uses less digits than its factorization.

101120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56907 (or 56905 counting only the distinct ones).

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

The square root of 101120020 is about 10055.8450664278. The cubic root of 101120020 is about 465.8853445197.

Adding to 101120020 its reverse (20021101), we get a palindrome (121141121).

The spelling of 101120020 in words is "one hundred one million, one hundred twenty thousand, twenty".