101002220220 has 192 divisors, whose sum is σ = 320212569600. Its totient is φ = 23562685440.

The previous prime is 101002220219. The next prime is 101002220227. The reversal of 101002220220 is 22022200101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101002220196 and 101002220205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002220227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5867386 + ... + 5884574.

It is an arithmetic number, because the mean of its divisors is an integer number (1667773800).

Almost surely, 2^101002220220 is an apocalyptic number.

101002220220 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 101002220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160106284800).

101002220220 is an abundant number, since it is smaller than the sum of its proper divisors (219210349380).

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

101002220220 is a wasteful number, since it uses less digits than its factorization.

101002220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17548 (or 17546 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 101002220220 its reverse (22022200101), we get a palindrome (123024420321).

The spelling of 101002220220 in words is "one hundred one billion, two million, two hundred twenty thousand, two hundred twenty".