101123303220 has 144 divisors (see below), whose sum is σ = 308818718208. Its totient is φ = 26784011520.

The previous prime is 101123303201. The next prime is 101123303263. The reversal of 101123303220 is 22303321101.

101123303220 is a `hidden beast` number, since 1 + 0 + 1 + 12 + 330 + 322 + 0 = 666.

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 = 101123303193 and 101123303202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24500797 + ... + 24504923.

It is an arithmetic number, because the mean of its divisors is an integer number (2144574432).

Almost surely, 2^101123303220 is an apocalyptic number.

101123303220 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 101123303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154409359104).

101123303220 is an abundant number, since it is smaller than the sum of its proper divisors (207695414988).

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

101123303220 is a wasteful number, since it uses less digits than its factorization.

101123303220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5030 (or 5025 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101123303220 its reverse (22303321101), we get a palindrome (123426624321).

It can be divided in two parts, 101 and 123303220, that added together give a palindrome (123303321).

The spelling of 101123303220 in words is "one hundred one billion, one hundred twenty-three million, three hundred three thousand, two hundred twenty".