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101000222212221 = 33231011610309501
BaseRepresentation
bin10110111101101111110010…
…010111100000000001111101
3111020121112020010212111122000
4112331233302113200001331
5101214241423341242341
6554450510032012513
730163011442520313
oct2675576227400175
9436545203774560
10101000222212221
112a1aaa54406432
12b3b262a091139
1344483844750b7
141ad26189800b3
15ba23aa7cb8b6
hex5bdbf25e007d

101000222212221 has 32 divisors (see below), whose sum is σ = 157681506435840. Its totient is φ = 63768256200000.

The previous prime is 101000222212217. The next prime is 101000222212291. The reversal of 101000222212221 is 122212222000101.

It is a happy number.

101000222212221 is a `hidden beast` number, since 1 + 0 + 10 + 0 + 0 + 222 + 212 + 221 = 666.

It is not a de Polignac number, because 101000222212221 - 22 = 101000222212217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101000222212194 and 101000222212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000222212291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 805092030 + ... + 805217471.

It is an arithmetic number, because the mean of its divisors is an integer number (4927547076120).

Almost surely, 2101000222212221 is an apocalyptic number.

It is an amenable number.

101000222212221 is a deficient number, since it is larger than the sum of its proper divisors (56681284223619).

101000222212221 is a wasteful number, since it uses less digits than its factorization.

101000222212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610309634 (or 1610309628 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101000222212221 its reverse (122212222000101), we get a palindrome (223212444212322).

The spelling of 101000222212221 in words is "one hundred one trillion, two hundred twenty-two million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 23 27 69 101 207 303 621 909 2323 2727 6969 20907 62721 1610309501 4830928503 14492785509 37037118523 43478356527 111111355569 162641259601 333334066707 487923778803 1000002200121 1463771336409 3740748970823 4391314009227 11222246912469 33666740737407 101000222212221