101000123444220 has 768 divisors, whose sum is σ = 393828156739584. Its totient is φ = 18662400000000.

The previous prime is 101000123444201. The next prime is 101000123444237. The reversal of 101000123444220 is 22444321000101.

It is a super-3 number, since 3×101000123444220³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 224219220 + ... + 224669220.

It is an arithmetic number, because the mean of its divisors is an integer number (512797079088).

Almost surely, 2^{101000123444220} is an apocalyptic number.

101000123444220 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 101000123444220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196914078369792).

101000123444220 is an abundant number, since it is smaller than the sum of its proper divisors (292828033295364).

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

101000123444220 is a wasteful number, since it uses less digits than its factorization.

101000123444220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450182 (or 450180 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 101000123444220 its reverse (22444321000101), we get a palindrome (123444444444321).

The spelling of 101000123444220 in words is "one hundred one trillion, one hundred twenty-three million, four hundred forty-four thousand, two hundred twenty".