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2121211112101 is a prime number
BaseRepresentation
bin11110110111100010000…
…010001110101010100101
321111210012211221022221021
4132313202002032222211
5234223220021041401
64302245415451141
7306152405646364
oct36674202165245
97453184838837
102121211112101
117486674113a4
122a3131386ab1
1312504c633a03
147494a9b97db
153a29e4662a1
hex1ede208eaa5

2121211112101 has 2 divisors, whose sum is σ = 2121211112102. Its totient is φ = 2121211112100.

The previous prime is 2121211112099. The next prime is 2121211112107. The reversal of 2121211112101 is 1012111121212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2085395928100 + 35815184001 = 1444090^2 + 189249^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121211112101 - 21 = 2121211112099 is a prime.

It is a super-2 number, since 2×21212111121012 (a number of 25 digits) contains 22 as substring.

Together with 2121211112099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121211112107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060605556050 + 1060605556051.

It is an arithmetic number, because the mean of its divisors is an integer number (1060605556051).

Almost surely, 22121211112101 is an apocalyptic number.

It is an amenable number.

2121211112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121211112101 is an equidigital number, since it uses as much as digits as its factorization.

2121211112101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2121211112101 its reverse (1012111121212), we get a palindrome (3133322233313).

The spelling of 2121211112101 in words is "two trillion, one hundred twenty-one billion, two hundred eleven million, one hundred twelve thousand, one hundred one".