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2021112110021 is a prime number
BaseRepresentation
bin11101011010010011101…
…010110101101111000101
321011012211210000011100212
4131122103222311233011
5231103214200010041
64144252554445205
7266010020323154
oct35322352655705
97135753004325
102021112110021
1170a1701065a4
12287856433805
1311878946ca74
146db7274759b
15378916c28eb
hex1d693ab5bc5

2021112110021 has 2 divisors, whose sum is σ = 2021112110022. Its totient is φ = 2021112110020.

The previous prime is 2021112110011. The next prime is 2021112110027. The reversal of 2021112110021 is 1200112111202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1709425502500 + 311686607521 = 1307450^2 + 558289^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2021112110021 is a prime.

It is a super-2 number, since 2×20211121100212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2021112109978 and 2021112110005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2021112110027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1010556055010 + 1010556055011.

It is an arithmetic number, because the mean of its divisors is an integer number (1010556055011).

Almost surely, 22021112110021 is an apocalyptic number.

It is an amenable number.

2021112110021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2021112110021 is an equidigital number, since it uses as much as digits as its factorization.

2021112110021 is an evil number, because the sum of its binary digits is even.

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

Adding to 2021112110021 its reverse (1200112111202), we get a palindrome (3221224221223).

It can be divided in two parts, 202111 and 2110021, that added together give a palindrome (2312132).

The spelling of 2021112110021 in words is "two trillion, twenty-one billion, one hundred twelve million, one hundred ten thousand, twenty-one".