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2100210000121 = 17768116084073
BaseRepresentation
bin11110100011111110010…
…001010110000011111001
321102210000020122022020001
4132203332101112003321
5233402212230000441
64244453445033001
7304510106310562
oct36437621260371
97383006568201
102100210000121
1173a76a87a102
1229b0500b5761
1312308371ca2c
1473917777169
1539970899731
hex1e8fe4560f9

2100210000121 has 8 divisors (see below), whose sum is σ = 2224041416424. Its totient is φ = 1976410767360.

The previous prime is 2100210000067. The next prime is 2100210000193. The reversal of 2100210000121 is 1210000120012.

It can be written as a sum of positive squares in 4 ways, for example, as 352526000121 + 1747684000000 = 593739^2 + 1322000^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2100210000121 - 29 = 2100209999609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100210000098 and 2100210000107.

It is not an unprimeable number, because it can be changed into a prime (2160210000121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7911460 + ... + 8172613.

It is an arithmetic number, because the mean of its divisors is an integer number (278005177053).

Almost surely, 22100210000121 is an apocalyptic number.

It is an amenable number.

2100210000121 is a deficient number, since it is larger than the sum of its proper divisors (123831416303).

2100210000121 is a wasteful number, since it uses less digits than its factorization.

2100210000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16091771.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2100210000121 its reverse (1210000120012), we get a palindrome (3310210120133).

The spelling of 2100210000121 in words is "two trillion, one hundred billion, two hundred ten million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 17 7681 130577 16084073 273429241 123541764713 2100210000121