101121020 has 96 divisors (see below), whose sum is σ = 285175296. Its totient is φ = 29088000.

The previous prime is 101121011. The next prime is 101121067. The reversal of 101121020 is 20121101.

Added to its reverse (20121101) it gives a square (121242121 = 11011²).

It is a junction number, because it is equal to n+sod(n) for n = 101120989 and 101121007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17495 + ... + 22545.

It is an arithmetic number, because the mean of its divisors is an integer number (2970576).

Almost surely, 2^101121020 is an apocalyptic number.

101121020 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 101121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142587648).

101121020 is an abundant number, since it is smaller than the sum of its proper divisors (184054276).

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

101121020 is a wasteful number, since it uses less digits than its factorization.

101121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5091 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 101121020 is about 10055.8947886302. The cubic root of 101121020 is about 465.8868802651.

Adding to 101121020 its reverse (20121101), we get a palindrome (121242121).

It can be divided in two parts, 101 and 121020, that added together give a palindrome (121121).

The spelling of 101121020 in words is "one hundred one million, one hundred twenty-one thousand, twenty".