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10012211220101 = 41590774133593
BaseRepresentation
bin1001000110110010011001…
…0010110000111010000101
31022110011021012210111200112
42101230212102300322011
52303020002033020401
633143314001522405
72052233633116136
oct221544622607205
938404235714615
1010012211220101
113210178241462
121158525343405
135781bbca534c
14268844c0dc8d
15125691ed73bb
hex91b264b0e85

10012211220101 has 8 divisors (see below), whose sum is σ = 10256587585944. Its totient is φ = 9767843239680.

The previous prime is 10012211220091. The next prime is 10012211220119. The reversal of 10012211220101 is 10102211221001.

It can be written as a sum of positive squares in 4 ways, for example, as 137841412900 + 9874369807201 = 371270^2 + 3142351^2 .

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-10012211220101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012211220131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 355361 + ... + 4488953.

It is an arithmetic number, because the mean of its divisors is an integer number (1282073448243).

Almost surely, 210012211220101 is an apocalyptic number.

It is an amenable number.

10012211220101 is a deficient number, since it is larger than the sum of its proper divisors (244376365843).

10012211220101 is an equidigital number, since it uses as much as digits as its factorization.

10012211220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4192711.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10012211220101 its reverse (10102211221001), we get a palindrome (20114422441102).

The spelling of 10012211220101 in words is "ten trillion, twelve billion, two hundred eleven million, two hundred twenty thousand, one hundred one".

Divisors: 1 41 59077 2422157 4133593 169477313 244200273661 10012211220101