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101221244124 = 223731113473659
BaseRepresentation
bin101111001000101000…
…0011001110011011100
3100200021021121222020120
41132101100121303130
53124300114302444
6114300030314540
710212233244000
oct1362120316334
9320237558216
10101221244124
1139a22831970
121774a958a50
1397118316c0
144c83320700
15297656eb19
hex1791419cdc

101221244124 has 384 divisors, whose sum is σ = 330559488000. Its totient is φ = 23745980160.

The previous prime is 101221244123. The next prime is 101221244129. The reversal of 101221244124 is 421442122101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101221244094 and 101221244103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221244123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27661807 + ... + 27665465.

It is an arithmetic number, because the mean of its divisors is an integer number (860832000).

Almost surely, 2101221244124 is an apocalyptic number.

101221244124 is a gapful number since it is divisible by the number (14) 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 101221244124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165279744000).

101221244124 is an abundant number, since it is smaller than the sum of its proper divisors (229338243876).

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

101221244124 is a wasteful number, since it uses less digits than its factorization.

101221244124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 101221244124 its reverse (421442122101), we get a palindrome (522663366225).

The spelling of 101221244124 in words is "one hundred one billion, two hundred twenty-one million, two hundred forty-four thousand, one hundred twenty-four".