101344012220 has 288 divisors, whose sum is σ = 252813422400. Its totient is φ = 33995427840.

The previous prime is 101344012183. The next prime is 101344012241. The reversal of 101344012220 is 22210443101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101344012192 and 101344012201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 365862722 + ... + 365862998.

Almost surely, 2^101344012220 is an apocalyptic number.

101344012220 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 101344012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126406711200).

101344012220 is an abundant number, since it is smaller than the sum of its proper divisors (151469410180).

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

101344012220 is a wasteful number, since it uses less digits than its factorization.

101344012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 101344012220 its reverse (22210443101), we get a palindrome (123554455321).

The spelling of 101344012220 in words is "one hundred one billion, three hundred forty-four million, twelve thousand, two hundred twenty".