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101220012221 = 293637959677
BaseRepresentation
bin101111001000100101…
…1101101000010111101
3100200021012022101101112
41132101023231002331
53124244310342341
6114255544051405
710212216623306
oct1362113550275
9320235271345
10101220012221
1139a22070369
121774a463b65
1397114bca73
144c830bd7ad
1529763c9aeb
hex17912ed0bd

101220012221 has 8 divisors (see below), whose sum is σ = 104739256920. Its totient is φ = 97702694208.

The previous prime is 101220012211. The next prime is 101220012233. The reversal of 101220012221 is 122210022101.

It can be written as a sum of positive squares in 4 ways, for example, as 2711284900 + 98508727321 = 52070^2 + 313861^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101220012221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101220012196 and 101220012205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220012211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 374366 + ... + 585311.

It is an arithmetic number, because the mean of its divisors is an integer number (13092407115).

Almost surely, 2101220012221 is an apocalyptic number.

It is an amenable number.

101220012221 is a deficient number, since it is larger than the sum of its proper divisors (3519244699).

101220012221 is an equidigital number, since it uses as much as digits as its factorization.

101220012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963343.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101220012221 its reverse (122210022101), we get a palindrome (223430034322).

The spelling of 101220012221 in words is "one hundred one billion, two hundred twenty million, twelve thousand, two hundred twenty-one".

Divisors: 1 29 3637 105473 959677 27830633 3490345249 101220012221