101002220 has 48 divisors (see below), whose sum is σ = 233821728. Its totient is φ = 36341760.

The previous prime is 101002207. The next prime is 101002241. The reversal of 101002220 is 22200101.

It is a junction number, because it is equal to n+sod(n) for n = 101002198 and 101002207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18974 + ... + 23706.

It is an arithmetic number, because the mean of its divisors is an integer number (4871286).

Almost surely, 2^101002220 is an apocalyptic number.

101002220 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 101002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116910864).

101002220 is an abundant number, since it is smaller than the sum of its proper divisors (132819508).

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

101002220 is a wasteful number, since it uses less digits than its factorization.

101002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4850 (or 4848 counting only the distinct ones).

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

The square root of 101002220 is about 10049.9860696421. The cubic root of 101002220 is about 465.7043628218.

Adding to 101002220 its reverse (22200101), we get a palindrome (123202321).

The spelling of 101002220 in words is "one hundred one million, two thousand, two hundred twenty".