101219220 has 144 divisors (see below), whose sum is σ = 324717120. Its totient is φ = 26459136.

The previous prime is 101219179. The next prime is 101219221. The reversal of 101219220 is 22912101.

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 = 101219193 and 101219202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101219221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286564 + ... + 286916.

It is an arithmetic number, because the mean of its divisors is an integer number (2254980).

Almost surely, 2^101219220 is an apocalyptic number.

101219220 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 101219220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162358560).

101219220 is an abundant number, since it is smaller than the sum of its proper divisors (223497900).

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

101219220 is a wasteful number, since it uses less digits than its factorization.

101219220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 101219220 is about 10060.7763119950. The cubic root of 101219220 is about 466.0376411722.

The spelling of 101219220 in words is "one hundred one million, two hundred nineteen thousand, two hundred twenty".