101048220 has 288 divisors, whose sum is σ = 391372800. Its totient is φ = 20528640.

The previous prime is 101048203. The next prime is 101048239. The reversal of 101048220 is 22840101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101048193 and 101048202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 507681 + ... + 507879.

Almost surely, 2^101048220 is an apocalyptic number.

101048220 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 101048220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195686400).

101048220 is an abundant number, since it is smaller than the sum of its proper divisors (290324580).

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

101048220 is a wasteful number, since it uses less digits than its factorization.

101048220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 101048220 is about 10052.2743695146. The cubic root of 101048220 is about 465.7750515298.

Adding to 101048220 its reverse (22840101), we get a palindrome (123888321).

The spelling of 101048220 in words is "one hundred one million, forty-eight thousand, two hundred twenty".